According to the Nice and Accurate Prophecies of Agnes Nutter, Witch (recorded, thankfully, in 1655, before she blew up her entire village and all its inhabitants, who had gathered to watch her burn), the world will end on a Saturday. So the Armies of Good and Evil are massing, the four Bikers of the Apocalypse are revving up their mighty hogs and hitting the road, and the world's last two remaining witchfinders are getting ready to Fight the Good Fight. Tempers are flaring, and everything appears to be going to Divine Plan.
Except that a somewhat fussy angel and a fastliving demon are not particularly looking forward to the coming Rapture. They've lived amongst Humanity for millennia, and have grown rather fond of the lifestyle. So if Crowley and Aziraphale are going to stop it from happening, they've got to find and kill the AntiChrist (which is a shame, really, as he's a nice kid).