400559912024832 has 1080 divisors, whose sum is σ = 1412144455807008. Its totient is φ = 110623182520320.

The previous prime is 400559912024809. The next prime is 400559912024887. The reversal of 400559912024832 is 238420219955004.

400559912024832 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 59 + 91 + 20 + 2 + 483 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 231136705438 + ... + 231136707170.

Almost surely, 2^{400559912024832} is an apocalyptic number.

400559912024832 is a gapful number since it is divisible by the number (42) 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 400559912024832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706072227903504).

400559912024832 is an abundant number, since it is smaller than the sum of its proper divisors (1011584543782176).

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

400559912024832 is a wasteful number, since it uses less digits than its factorization.

400559912024832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 400559912024832 in words is "four hundred trillion, five hundred fifty-nine billion, nine hundred twelve million, twenty-four thousand, eight hundred thirty-two".