45140336640 has 1120 divisors, whose sum is σ = 198239542560. Its totient is φ = 9710862336.

The previous prime is 45140336617. The next prime is 45140336687. The reversal of 45140336640 is 4663304154.

45140336640 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 0 + 3 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 45140336595 and 45140336604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2655313912 + ... + 2655313928.

Almost surely, 2^45140336640 is an apocalyptic number.

45140336640 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 45140336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99119771280).

45140336640 is an abundant number, since it is smaller than the sum of its proper divisors (153099205920).

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

45140336640 is an frugal number, since it uses more digits than its factorization.

45140336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 45140336640 in words is "forty-five billion, one hundred forty million, three hundred thirty-six thousand, six hundred forty".