Unfortunately, no. When considering the question of the almighty, while counter-intuitive, logic is the last thing to turn to.
Faith, is the anti-thesis of logic. Believing in that which can never be seen, heard, tasted, smelled, touched, or deducted. Quite simply, the concept of God is irrational. That logic cannot deduce or describe it is not a flaw of the almighty, it is simply a fundamental limitation of logic.
The Judeao-Christian God requires an act of blind faith, the truly irrational decision. He is described as a jealous God, filled with vengeance and wrath. Yet he is also slow to anger, filled with unfailing love and forgiveness. He is simultaneosly God, Man, and Spirit. He is both omnicient and yet grants complete free will. He is the beginning and the end. He is not subject to the laws of this universe which we exist in. God is a Paradox - logic can never describe this premise, and should not even try.
He does not attempt to compare himself to any item or quantity which is known, he is simply described as "I am that I am" or more properly "I will be what I will be".