mradiel
I have used my 450/400 3 1/4" double for quite a few hogs.
I have used a 300gr. Hawk .025jkt at 2330fps with excellent results.
I see no reason why your 416 with 400gr Hornadys would not work. I went to the Hawk bullets with the thin jkt to ensure good expansion on behind the shoulder shots because I do not want to shoot the shoulder and mess up the meat. Them pigs just taste too good.