45407390400 has 336 divisors, whose sum is σ = 165851006880. Its totient is φ = 12084940800.

The previous prime is 45407390387. The next prime is 45407390437. The reversal of 45407390400 is 409370454.

45407390400 is a `hidden beast` number, since 4 + 540 + 73 + 9 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×45407390400² (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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40650642 + ... + 40651758.

Almost surely, 2^45407390400 is an apocalyptic number.

45407390400 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 45407390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82925503440).

45407390400 is an abundant number, since it is smaller than the sum of its proper divisors (120443616480).

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

45407390400 is a wasteful number, since it uses less digits than its factorization.

45407390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 45407390400 in words is "forty-five billion, four hundred seven million, three hundred ninety thousand, four hundred".