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4!4! = 2424 = 1.3337 * 1033 or slightly greater than 1 decillion. And you still have another 4 to play with!

If you do not wish to use factorials, you can try

4^4^4 = 256^4 = 4,294,967,296 - more than big enough.

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12y ago
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Q: How can you use three fours to make a number greater than 400?
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