456356041425920 has 176 divisors, whose sum is σ = 1097753602638000. Its totient is φ = 182036753547264.

The previous prime is 456356041425917. The next prime is 456356041425941. The reversal of 456356041425920 is 29524140653654.

It can be written as a sum of positive squares in 8 ways, for example, as 44815419802624 + 411540621623296 = 6694432^2 + 20286464^2 .

It is a super-2 number, since 2×456356041425920² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8734227956 + ... + 8734280204.

It is an arithmetic number, because the mean of its divisors is an integer number (6237236378625).

Almost surely, 2^{456356041425920} is an apocalyptic number.

456356041425920 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 456356041425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548876801319000).

456356041425920 is an abundant number, since it is smaller than the sum of its proper divisors (641397561212080).

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

456356041425920 is a wasteful number, since it uses less digits than its factorization.

456356041425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56968 (or 56950 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 56.

The spelling of 456356041425920 in words is "four hundred fifty-six trillion, three hundred fifty-six billion, forty-one million, four hundred twenty-five thousand, nine hundred twenty".