401257672704 has 936 divisors, whose sum is σ = 1455230752560. Its totient is φ = 105828581376.

The previous prime is 401257672693. The next prime is 401257672723. The reversal of 401257672704 is 407276752104.

401257672704 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 576 + 7 + 2 + 70 + 4 = 666.

It is a super-2 number, since 2×401257672704² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401257672704.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2241662887 + ... + 2241663065.

It is an arithmetic number, because the mean of its divisors is an integer number (1554733710).

Almost surely, 2^401257672704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401257672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727615376280).

401257672704 is an abundant number, since it is smaller than the sum of its proper divisors (1053973079856).

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

401257672704 is a wasteful number, since it uses less digits than its factorization.

401257672704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 401257672704 in words is "four hundred one billion, two hundred fifty-seven million, six hundred seventy-two thousand, seven hundred four".