I suggest that you refer to
www.steamlocomotive.com it has some very good information on steam locomotives and what is biggest, largest, heaviest, etc. Since you stated "engine" and not steam locomotive there were several engines bigger and more powerful. My favorite was the Virginian Jackshaft Electrics, EL-3A, these were built in 1925 and were used until 1959, scapped in 1960. These were brutes 1,282,380 pounds with a total tractive effort of 231,975, and 922,580 weight on drivers with a lenghth greater than 142 ft. They had a horsepower rating of 7125, and a top speed of 38 miles per hour. No they were not steam but the jackshafts turned drivers like steam engines. Continuous tractive rating was 135,000 at 14.2mph, and the Virginian with a long experience with big steam locomotives and many mallets, found that these locomotives could outperform any steam locomtive made, period. Thay made several tests with their biggest steam locomotives, the final and most conclusive was when they took a U.S.R.A. Mallet attached a 6000 ton train behind it and used two 2-10-10-2 behind as pushers. They tested on Clarks Gap, with a 2.07 per cent grade. They set up a 6000 ton train with the EL-3A on the same grade grade and gave the steam train a 15 minute head start. The steam train could only reach a top speed of 7 mph. the EL-3A's reached 14mph and overtook the steam train in 15 min. For good measure they stopped the electric locomotives on grade and with 3 minutes the electric juicers were back at the original pace. Clearly the steam engines had struck out. From then on until the diesel era electrics ruled Clarks Gap.
More powerful locomotives were the 2-10-10-2 AE class of the Virginian not bigger but definately more tractive effort 147,200 simple and 176,600 compound.
These were not unsucessful as they were used for 35 years before retirement, not fast they were definatly drag locomotives. The Great Northern R-2 class were more powerful with 153,000 tractive effort, The Virginian AG and C&O H-8 ( almost same identical engines ) had more horsepower and were probably the finest mallet class locomotive ever made. They were slightly shorter and heavier. The Norfolk and Western Y6c's were more powerful also with a tractive effort of 166,000. It must also be considered, that the Virginian, the N&W, and the C&O were all coal roads and they had coal a plenty, all of these engines (except the AG, H-8 classes) had by western standards small tenders, they didn't need the coal capacity in there tenders, but because the tenders weren't as big don't be fooled, the locomotives were as big as anything built, the Virginian 2-10-10-2 AE class had 48" front cylinders I don't believe any locomotive ever had larger. Other railroads with huge locomotives were the DM&IR (M-4), Northern Pacific's Z-5 ( also large were Z-7, Z-8's), B&O (EM1's), SP, (AC-12's).
Where I am leading with this is it is non productive to argrue what was the biggest, largest, etc. I believe that locomotives other than the Big Boy should be remembered and preserved. For future generations we should preserve a variety of the gone locomotives by photos, models,and technical drawings and sketches. If you do some research very few big steam locomotives survived, ( you could get a lot of nails out of a mallet ), and focusing on the Big Boy further obscures these forgotten steam locomotives.