45390131640 has 192 divisors, whose sum is σ = 168739796160. Its totient is φ = 10365788160.

The previous prime is 45390131623. The next prime is 45390131641. The reversal of 45390131640 is 4613109354.

45390131640 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 0 + 1 + 3 + 1 + 640 = 666.

45390131640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45390131595 and 45390131604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45390131641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3109960 + ... + 3124520.

It is an arithmetic number, because the mean of its divisors is an integer number (878853105).

Almost surely, 2^45390131640 is an apocalyptic number.

45390131640 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 45390131640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369898080).

45390131640 is an abundant number, since it is smaller than the sum of its proper divisors (123349664520).

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

45390131640 is a wasteful number, since it uses less digits than its factorization.

45390131640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15822 (or 15815 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 45390131640 in words is "forty-five billion, three hundred ninety million, one hundred thirty-one thousand, six hundred forty".