45753329440 has 576 divisors, whose sum is σ = 144634533120. Its totient is φ = 13341818880.

The previous prime is 45753329437. The next prime is 45753329459. The reversal of 45753329440 is 4492335754.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189847720 + ... + 189847960.

It is an arithmetic number, because the mean of its divisors is an integer number (251101620).

Almost surely, 2^45753329440 is an apocalyptic number.

45753329440 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 45753329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72317266560).

45753329440 is an abundant number, since it is smaller than the sum of its proper divisors (98881203680).

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

45753329440 is a wasteful number, since it uses less digits than its factorization.

45753329440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 45753329440 in words is "forty-five billion, seven hundred fifty-three million, three hundred twenty-nine thousand, four hundred forty".