400477545664 has 84 divisors (see below), whose sum is σ = 924807441720. Its totient is φ = 171565793280.

The previous prime is 400477545661. The next prime is 400477545683. The reversal of 400477545664 is 466545774004.

It is a super-2 number, since 2×400477545664² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400477545661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8408959 + ... + 8456449.

Almost surely, 2^400477545664 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 400477545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462403720860).

400477545664 is an abundant number, since it is smaller than the sum of its proper divisors (524329896056).

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

400477545664 is a wasteful number, since it uses less digits than its factorization.

400477545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50206 (or 50189 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 52.

The spelling of 400477545664 in words is "four hundred billion, four hundred seventy-seven million, five hundred forty-five thousand, six hundred sixty-four".