45840944640 has 320 divisors, whose sum is σ = 151274889216. Its totient is φ = 11835113472.

The previous prime is 45840944629. The next prime is 45840944659. The reversal of 45840944640 is 4644904854.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45840944640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41939934 + ... + 41941026.

Almost surely, 2^45840944640 is an apocalyptic number.

45840944640 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 45840944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75637444608).

45840944640 is an abundant number, since it is smaller than the sum of its proper divisors (105433944576).

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

45840944640 is a wasteful number, since it uses less digits than its factorization.

45840944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 45840944640 in words is "forty-five billion, eight hundred forty million, nine hundred forty-four thousand, six hundred forty".