12715736040 has 192 divisors, whose sum is σ = 47317944960. Its totient is φ = 2901035520.

The previous prime is 12715736039. The next prime is 12715736081. The reversal of 12715736040 is 4063751721.

It is a happy number.

12715736040 is a `hidden beast` number, since 1 + 27 + 1 + 573 + 60 + 4 + 0 = 666.

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 = 12715735986 and 12715736004.

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, 1434502 + ... + 1443338.

It is an arithmetic number, because the mean of its divisors is an integer number (246447630).

Almost surely, 2^12715736040 is an apocalyptic number.

12715736040 is a gapful number since it is divisible by the number (10) 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 12715736040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23658972480).

12715736040 is an abundant number, since it is smaller than the sum of its proper divisors (34602208920).

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

12715736040 is a wasteful number, since it uses less digits than its factorization.

12715736040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9432 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 12715736040 in words is "twelve billion, seven hundred fifteen million, seven hundred thirty-six thousand, forty".