45929981440 has 240 divisors, whose sum is σ = 128747889072. Its totient is φ = 15668330496.

The previous prime is 45929981431. The next prime is 45929981497. The reversal of 45929981440 is 4418992954.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28474074 + ... + 28475686.

Almost surely, 2^45929981440 is an apocalyptic number.

45929981440 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 45929981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64373944536).

45929981440 is an abundant number, since it is smaller than the sum of its proper divisors (82817907632).

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

45929981440 is a wasteful number, since it uses less digits than its factorization.

45929981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 45929981440 in words is "forty-five billion, nine hundred twenty-nine million, nine hundred eighty-one thousand, four hundred forty".