45056642400 has 864 divisors, whose sum is σ = 201207621888. Its totient is φ = 9215078400.

The previous prime is 45056642339. The next prime is 45056642453. The reversal of 45056642400 is 424665054.

45056642400 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 6 + 642 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×45056642400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37144194 + ... + 37145406.

It is an arithmetic number, because the mean of its divisors is an integer number (232879192).

Almost surely, 2^45056642400 is an apocalyptic number.

45056642400 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 45056642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100603810944).

45056642400 is an abundant number, since it is smaller than the sum of its proper divisors (156150979488).

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

45056642400 is a wasteful number, since it uses less digits than its factorization.

45056642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45056642400 in words is "forty-five billion, fifty-six million, six hundred forty-two thousand, four hundred".