455966288640 has 504 divisors, whose sum is σ = 1652915307120. Its totient is φ = 120448622592.

The previous prime is 455966288597. The next prime is 455966288641. The reversal of 455966288640 is 46882669554.

455966288640 is a `hidden beast` number, since 455 + 9 + 6 + 62 + 8 + 86 + 40 = 666.

It is a super-2 number, since 2×455966288640² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (455966288641) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 101707839 + ... + 101712321.

Almost surely, 2^455966288640 is an apocalyptic number.

455966288640 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 455966288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826457653560).

455966288640 is an abundant number, since it is smaller than the sum of its proper divisors (1196949018480).

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

455966288640 is an equidigital number, since it uses as much as digits as its factorization.

455966288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 455966288640 in words is "four hundred fifty-five billion, nine hundred sixty-six million, two hundred eighty-eight thousand, six hundred forty".