401086657013904 has 45 divisors (see below), whose sum is σ = 1122486247416313. Its totient is φ = 133695472229376.

The previous prime is 401086657013899. The next prime is 401086657013909. The reversal of 401086657013904 is 409310756680104.

The square root of 401086657013904 is 20027148.

It is a perfect power (a square), and thus also a powerful number.

401086657013904 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 8 + 66 + 570 + 1 + 3 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (401086657013899) and next prime (401086657013909).

It can be written as a sum of positive squares in only one way, i.e., 355908901340304 + 45177755673600 = 18865548^2 + 6721440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401086657013909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 239491312 + ... + 241160240.

Almost surely, 2^{401086657013904} is an apocalyptic number.

401086657013904 is the 20027148-th square number.

It is an amenable number.

401086657013904 is an abundant number, since it is smaller than the sum of its proper divisors (721399590402409).

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

401086657013904 is an frugal number, since it uses more digits than its factorization.

401086657013904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337872 (or 1668934 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 401086657013904 in words is "four hundred one trillion, eighty-six billion, six hundred fifty-seven million, thirteen thousand, nine hundred four".