400257930667 has 16 divisors (see below), whose sum is σ = 468313655040. Its totient is φ = 334929323232.

The previous prime is 400257930659. The next prime is 400257930679. The reversal of 400257930667 is 766039752004.

It is not a de Polignac number, because 400257930667 - 2³ = 400257930659 is a prime.

It is a super-3 number, since 3×400257930667³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 400257930667.

It is not an unprimeable number, because it can be changed into a prime (400257930367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256884 + ... + 930862.

It is an arithmetic number, because the mean of its divisors is an integer number (29269603440).

Almost surely, 2^400257930667 is an apocalyptic number.

400257930667 is a deficient number, since it is larger than the sum of its proper divisors (68055724373).

400257930667 is a wasteful number, since it uses less digits than its factorization.

400257930667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676002.

The product of its (nonzero) digits is 1905120, while the sum is 49.

The spelling of 400257930667 in words is "four hundred billion, two hundred fifty-seven million, nine hundred thirty thousand, six hundred sixty-seven".