45991139040 has 960 divisors, whose sum is σ = 214343635968. Its totient is φ = 8991129600.

The previous prime is 45991139027. The next prime is 45991139041. The reversal of 45991139040 is 4093119954.

45991139040 is a `hidden beast` number, since 4 + 599 + 1 + 13 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×45991139040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45991139041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16963285 + ... + 16965995.

Almost surely, 2^45991139040 is an apocalyptic number.

45991139040 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 45991139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107171817984).

45991139040 is an abundant number, since it is smaller than the sum of its proper divisors (168352496928).

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

45991139040 is a wasteful number, since it uses less digits than its factorization.

45991139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 45991139040 in words is "forty-five billion, nine hundred ninety-one million, one hundred thirty-nine thousand, forty".