400379245056 has 320 divisors, whose sum is σ = 1401172819200. Its totient is φ = 110448672768.

The previous prime is 400379245033. The next prime is 400379245069. The reversal of 400379245056 is 650542973004.

It is a super-2 number, since 2×400379245056² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2734936 + ... + 2877608.

It is an arithmetic number, because the mean of its divisors is an integer number (4378665060).

Almost surely, 2^400379245056 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 400379245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700586409600).

400379245056 is an abundant number, since it is smaller than the sum of its proper divisors (1000793574144).

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

400379245056 is a wasteful number, since it uses less digits than its factorization.

400379245056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142736 (or 142714 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 400379245056 in words is "four hundred billion, three hundred seventy-nine million, two hundred forty-five thousand, fifty-six".