12718337040 has 320 divisors, whose sum is σ = 47192217600. Its totient is φ = 3137895936.

The previous prime is 12718337039. The next prime is 12718337057. The reversal of 12718337040 is 4073381721.

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 = 12718336986 and 12718337004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1761117 + ... + 1768323.

It is an arithmetic number, because the mean of its divisors is an integer number (147475680).

Almost surely, 2^12718337040 is an apocalyptic number.

12718337040 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 12718337040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23596108800).

12718337040 is an abundant number, since it is smaller than the sum of its proper divisors (34473880560).

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

12718337040 is a wasteful number, since it uses less digits than its factorization.

12718337040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7291 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12718337040 in words is "twelve billion, seven hundred eighteen million, three hundred thirty-seven thousand, forty".