401291376264 has 96 divisors (see below), whose sum is σ = 1119019164120. Its totient is φ = 129820382208.

The previous prime is 401291376259. The next prime is 401291376281. The reversal of 401291376264 is 462673192104.

401291376264 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 9 + 13 + 7 + 626 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 324168532164 + 77122844100 = 569358^2 + 277710^2 .

It is a super-2 number, since 2×401291376264² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867892 + ... + 1247324.

Almost surely, 2^401291376264 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 401291376264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559509582060).

401291376264 is an abundant number, since it is smaller than the sum of its proper divisors (717727787856).

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

401291376264 is a wasteful number, since it uses less digits than its factorization.

401291376264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379879 (or 379872 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 401291376264 in words is "four hundred one billion, two hundred ninety-one million, three hundred seventy-six thousand, two hundred sixty-four".