45033392640 has 480 divisors, whose sum is σ = 156404096640. Its totient is φ = 11044159488.

The previous prime is 45033392561. The next prime is 45033392653. The reversal of 45033392640 is 4629333054.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102581541 + ... + 102581979.

It is an arithmetic number, because the mean of its divisors is an integer number (325841868).

Almost surely, 2^45033392640 is an apocalyptic number.

45033392640 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 45033392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78202048320).

45033392640 is an abundant number, since it is smaller than the sum of its proper divisors (111370704000).

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

45033392640 is a wasteful number, since it uses less digits than its factorization.

45033392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 45033392640 in words is "forty-five billion, thirty-three million, three hundred ninety-two thousand, six hundred forty".