400915158336 has 1680 divisors, whose sum is σ = 1631647898496. Its totient is φ = 94887936000.

The previous prime is 400915158277. The next prime is 400915158359. The reversal of 400915158336 is 633851519004.

400915158336 is a `hidden beast` number, since 40 + 0 + 91 + 515 + 8 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 400915158291 and 400915158300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3060420991 + ... + 3060421121.

Almost surely, 2^400915158336 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 400915158336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815823949248).

400915158336 is an abundant number, since it is smaller than the sum of its proper divisors (1230732740160).

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

400915158336 is a wasteful number, since it uses less digits than its factorization.

400915158336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 400915158336 in words is "four hundred billion, nine hundred fifteen million, one hundred fifty-eight thousand, three hundred thirty-six".