45572864040 has 288 divisors, whose sum is σ = 163269124200. Its totient is φ = 11016192000.

The previous prime is 45572864017. The next prime is 45572864041. The reversal of 45572864040 is 4046827554.

It can be written as a sum of positive squares in 4 ways, for example, as 44800802244 + 772061796 = 211662^2 + 27786^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45572864041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17466256 + ... + 17468864.

Almost surely, 2^45572864040 is an apocalyptic number.

45572864040 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 45572864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81634562100).

45572864040 is an abundant number, since it is smaller than the sum of its proper divisors (117696260160).

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

45572864040 is a wasteful number, since it uses less digits than its factorization.

45572864040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 45572864040 in words is "forty-five billion, five hundred seventy-two million, eight hundred sixty-four thousand, forty".