45407607120 has 240 divisors, whose sum is σ = 158892544512. Its totient is φ = 11607966720.

The previous prime is 45407607097. The next prime is 45407607127. The reversal of 45407607120 is 2170670454.

45407607120 is a `hidden beast` number, since 4 + 5 + 40 + 7 + 607 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45407607127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2378734 + ... + 2397746.

Almost surely, 2^45407607120 is an apocalyptic number.

45407607120 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 45407607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79446272256).

45407607120 is an abundant number, since it is smaller than the sum of its proper divisors (113484937392).

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

45407607120 is a wasteful number, since it uses less digits than its factorization.

45407607120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19170 (or 19161 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 45407607120 in words is "forty-five billion, four hundred seven million, six hundred seven thousand, one hundred twenty".