It depends on if you're talking about commercial loads or handloads. With commercial loads, the .45 ACP has it all over the .44 Special as you'll find much more choice with the .45 ACP, and the price will probably be a little less. With handloads, the .44 Special can be comfortably loaded to meet or exceed anything (commercial or handloads) in .45 ACP. The factory standard for the .44 Special is a 246gr LRN bullet at about 750 fps (307 ft-lbs). If that was all the .44 Special was capable of, then it would be a dead issue (except maybe for cowboy action shooting). SAAMI has no ".44 Special +P" designation, but several writers (Elmer Keith being one of the first, with Brian Pearce being one of the better modern writers) have advocated more strenuous .44 Special loads. It's no great feat to exceed 1000 fps with a 250gr LSWC bullet in the .44 Special, and at pressures that shouldn't harm a modern handgun.
For recoil, well it depends. A M21 or M24 shooting a factory standard 246gr load probably feels about the same as a 1911 shooting a factory .45 ACP 230gr FMJ round at 750-800 fps. But the recoil of a fast-stepping 200gr GDHP out of a S&W M396 Mountain Lite (18 oz empty) will get your attention.
For versatility, while there are both .45ACP semi-autos and revolvers available, I've never heard of a .44 Special semi-auto. But then, I've never heard of an 18 oz weapon in .45 ACP either...
For me, the .44 Special does 98% of everything I need a handgun to do, without the necessity of chasing brass all over the range...