45999440640 has 432 divisors, whose sum is σ = 167503085568. Its totient is φ = 11632287744.

The previous prime is 45999440621. The next prime is 45999440677. The reversal of 45999440640 is 4604499954.

It is a happy number.

45999440640 is a `hidden beast` number, since 4 + 59 + 99 + 440 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33649237 + ... + 33650603.

It is an arithmetic number, because the mean of its divisors is an integer number (387738624).

Almost surely, 2^45999440640 is an apocalyptic number.

45999440640 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 45999440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83751542784).

45999440640 is an abundant number, since it is smaller than the sum of its proper divisors (121503644928).

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

45999440640 is a wasteful number, since it uses less digits than its factorization.

45999440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 45999440640 in words is "forty-five billion, nine hundred ninety-nine million, four hundred forty thousand, six hundred forty".