45840902400 has 432 divisors, whose sum is σ = 168832110720. Its totient is φ = 12170649600.

The previous prime is 45840902389. The next prime is 45840902467. The reversal of 45840902400 is 420904854.

45840902400 is a `hidden beast` number, since 4 + 5 + 8 + 409 + 0 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53740374 + ... + 53741226.

Almost surely, 2^45840902400 is an apocalyptic number.

45840902400 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 45840902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84416055360).

45840902400 is an abundant number, since it is smaller than the sum of its proper divisors (122991208320).

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

45840902400 is a wasteful number, since it uses less digits than its factorization.

45840902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45840902400 in words is "forty-five billion, eight hundred forty million, nine hundred two thousand, four hundred".