45772164040 has 16 divisors (see below), whose sum is σ = 102987369180. Its totient is φ = 18308865600.

The previous prime is 45772164037. The next prime is 45772164071. The reversal of 45772164040 is 4046127754.

45772164040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41870162884 + 3902001156 = 204622^2 + 62466^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1144304101 = 45772164040 / (4 + 5 + 7 + 7 + 2 + 1 + 6 + 4 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 45772163984 and 45772164002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 572152011 + ... + 572152090.

Almost surely, 2^45772164040 is an apocalyptic number.

45772164040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45772164040 is an abundant number, since it is smaller than the sum of its proper divisors (57215205140).

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

45772164040 is a wasteful number, since it uses less digits than its factorization.

45772164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144304112 (or 1144304108 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 45772164040 in words is "forty-five billion, seven hundred seventy-two million, one hundred sixty-four thousand, forty".