456016336400 has 120 divisors (see below), whose sum is σ = 1140932166144. Its totient is φ = 174959769600.

The previous prime is 456016336379. The next prime is 456016336439. The reversal of 456016336400 is 4633610654.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238477 + ... + 1563923.

Almost surely, 2^456016336400 is an apocalyptic number.

456016336400 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 456016336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570466083072).

456016336400 is an abundant number, since it is smaller than the sum of its proper divisors (684915829744).

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

456016336400 is a wasteful number, since it uses less digits than its factorization.

456016336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325609 (or 325598 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 456016336400 in words is "four hundred fifty-six billion, sixteen million, three hundred thirty-six thousand, four hundred".