401080760409888 has 960 divisors, whose sum is σ = 1377237950161920. Its totient is φ = 113372174942208.

The previous prime is 401080760409841. The next prime is 401080760409943. The reversal of 401080760409888 is 888904067080104.

401080760409888 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 80 + 76 + 0 + 409 + 8 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43327289356 + ... + 43327298612.

It is an arithmetic number, because the mean of its divisors is an integer number (1434622864752).

Almost surely, 2^{401080760409888} is an apocalyptic number.

401080760409888 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 401080760409888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688618975080960).

401080760409888 is an abundant number, since it is smaller than the sum of its proper divisors (976157189752032).

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

401080760409888 is a wasteful number, since it uses less digits than its factorization.

401080760409888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 401080760409888 in words is "four hundred one trillion, eighty billion, seven hundred sixty million, four hundred nine thousand, eight hundred eighty-eight".