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404090325408 = 253711291939767
BaseRepresentation
bin1011110000101011010…
…10010000100110100000
31102122000202020102121110
411320111222100212200
523110034110403113
6505345254023320
741123510043660
oct5702552204640
91378022212543
10404090325408
111464124aa420
1266395047b40
132c14ab96b33
14157b550a1a0
15a7a0a61bc3
hex5e15a909a0

404090325408 has 384 divisors, whose sum is σ = 1375309393920. Its totient is φ = 100803870720.

The previous prime is 404090325391. The next prime is 404090325421. The reversal of 404090325408 is 804523090404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41368141 + ... + 41377907.

It is an arithmetic number, because the mean of its divisors is an integer number (3581534880).

Almost surely, 2404090325408 is an apocalyptic number.

404090325408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404090325408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687654696960).

404090325408 is an abundant number, since it is smaller than the sum of its proper divisors (971219068512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404090325408 is a wasteful number, since it uses less digits than its factorization.

404090325408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 404090325408 in words is "four hundred four billion, ninety million, three hundred twenty-five thousand, four hundred eight".