400956015886848 has 1440 divisors, whose sum is σ = 1337709554108928. Its totient is φ = 119716459315200.

The previous prime is 400956015886807. The next prime is 400956015886859. The reversal of 400956015886848 is 848688510659004.

400956015886848 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 5 + 601 + 5 + 8 + 8 + 6 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67993216636 + ... + 67993222532.

Almost surely, 2^{400956015886848} is an apocalyptic number.

400956015886848 is a gapful number since it is divisible by the number (48) 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 400956015886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668854777054464).

400956015886848 is an abundant number, since it is smaller than the sum of its proper divisors (936753538222080).

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

400956015886848 is an equidigital number, since it uses as much as digits as its factorization.

400956015886848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 400956015886848 in words is "four hundred trillion, nine hundred fifty-six billion, fifteen million, eight hundred eighty-six thousand, eight hundred forty-eight".