400365359453664 has 576 divisors, whose sum is σ = 1297334333010240. Its totient is φ = 120020100710400.

The previous prime is 400365359453623. The next prime is 400365359453693. The reversal of 400365359453664 is 466354953563004.

400365359453664 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 6 + 5 + 3 + 5 + 94 + 536 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27917527134 + ... + 27917541474.

It is an arithmetic number, because the mean of its divisors is an integer number (2252316550365).

Almost surely, 2^{400365359453664} is an apocalyptic number.

400365359453664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400365359453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648667166505120).

400365359453664 is an abundant number, since it is smaller than the sum of its proper divisors (896968973556576).

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

400365359453664 is a wasteful number, since it uses less digits than its factorization.

400365359453664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17232 (or 17207 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 63.

The spelling of 400365359453664 in words is "four hundred trillion, three hundred sixty-five billion, three hundred fifty-nine million, four hundred fifty-three thousand, six hundred sixty-four".