45707920440 has 256 divisors, whose sum is σ = 169987507200. Its totient is φ = 9574170624.

The previous prime is 45707920421. The next prime is 45707920463. The reversal of 45707920440 is 4402970754.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 45707920392 and 45707920401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1502824 + ... + 1532936.

It is an arithmetic number, because the mean of its divisors is an integer number (664013700).

Almost surely, 2^45707920440 is an apocalyptic number.

45707920440 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 45707920440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84993753600).

45707920440 is an abundant number, since it is smaller than the sum of its proper divisors (124279586760).

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

45707920440 is a wasteful number, since it uses less digits than its factorization.

45707920440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30286 (or 30282 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 45707920440 in words is "forty-five billion, seven hundred seven million, nine hundred twenty thousand, four hundred forty".