A rather large, rather desirable joint or blunt of dat marijuana.
*Granted a blunt is typically brown, but in this specific definition let's just base the name off of size first, then color.
President Obama: "Well, what's that you got there, Joe? Looks like a bad PR move to me."
Vice President Biden: "Sir, it's a...well, I don't really remember what this is, but it kind of looks like a mummy's finger."
President Obama: "How about you just let me light it up? It's not the first time I've smoked one of these, and it sure won't be the last!"
Vice President Biden: "Hit that mummy finger, Barry!"