456188389204440 has 384 divisors, whose sum is σ = 1431620909107200. Its totient is φ = 116238025128960.

The previous prime is 456188389204421. The next prime is 456188389204447. The reversal of 456188389204440 is 44402983881654.

It is a super-2 number, since 2×456188389204440² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456188389204447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24913342885 + ... + 24913361195.

It is an arithmetic number, because the mean of its divisors is an integer number (3728179450800).

Almost surely, 2^{456188389204440} is an apocalyptic number.

456188389204440 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 456188389204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715810454553600).

456188389204440 is an abundant number, since it is smaller than the sum of its proper divisors (975432519902760).

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

456188389204440 is a wasteful number, since it uses less digits than its factorization.

456188389204440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20847 (or 20800 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 66.

The spelling of 456188389204440 in words is "four hundred fifty-six trillion, one hundred eighty-eight billion, three hundred eighty-nine million, two hundred four thousand, four hundred forty".