Factual error: When Aladeen discusses how his rocket has to be pointy on the top, the rocket-scientist says: "The shape of the missile top has nothing to do with aerodynamics." This is factually wrong. Nose cone design is very important for aerodynamics. A real rocket-scientist never would say something like that. Stupid Aladeen even could be right with his pointy nose demands (although he fears a bounce back of the rocket not bad aerodynamic characteristics), because most modern missiles do have pointy nose cones.
Factual error: When Aladeen shoots one of his guards while explaining his UN speech, the gun goes back and forth from being loaded with the slide forward to unloaded with the slide locked to the rear. The gun appears to be a gold Beretta M9 (or 92), and when he points to the safety, it is actually in the safe position, but it fires again. Also, that weapons hammer should have been locked back after the first shot, but it is forward when he shows a close-up of the safety. And finally, the slide would only lock to the rear if the magazine was empty. We know it's not, because he fires again. (00:16:05)