400045966817 has 16 divisors (see below), whose sum is σ = 471968486400. Its totient is φ = 331817886720.

The previous prime is 400045966787. The next prime is 400045966841. The reversal of 400045966817 is 718669540004.

It is a cyclic number.

It is not a de Polignac number, because 400045966817 - 2²⁴ = 400029189601 is a prime.

It is a super-2 number, since 2×400045966817² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400045966847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5582309 + ... + 5653517.

It is an arithmetic number, because the mean of its divisors is an integer number (29498030400).

Almost surely, 2^400045966817 is an apocalyptic number.

It is an amenable number.

400045966817 is a deficient number, since it is larger than the sum of its proper divisors (71922519583).

400045966817 is a wasteful number, since it uses less digits than its factorization.

400045966817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97136.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 400045966817 in words is "four hundred billion, forty-five million, nine hundred sixty-six thousand, eight hundred seventeen".