400456309344320 has 448 divisors, whose sum is σ = 1017685155741696. Its totient is φ = 149878025256960.

The previous prime is 400456309344319. The next prime is 400456309344379. The reversal of 400456309344320 is 23443903654004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7735719077 + ... + 7735770843.

Almost surely, 2^{400456309344320} is an apocalyptic number.

400456309344320 is a gapful number since it is divisible by the number (40) 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 400456309344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508842577870848).

400456309344320 is an abundant number, since it is smaller than the sum of its proper divisors (617228846397376).

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

400456309344320 is a wasteful number, since it uses less digits than its factorization.

400456309344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52098 (or 52088 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 47.

The spelling of 400456309344320 in words is "four hundred trillion, four hundred fifty-six billion, three hundred nine million, three hundred forty-four thousand, three hundred twenty".