12792911040 has 896 divisors, whose sum is σ = 56777656320. Its totient is φ = 2639609856.

The previous prime is 12792911017. The next prime is 12792911051. The reversal of 12792911040 is 4011929721.

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 = 12792910986 and 12792911004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41670567 + ... + 41670873.

It is an arithmetic number, because the mean of its divisors is an integer number (63367920).

Almost surely, 2^12792911040 is an apocalyptic number.

12792911040 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 12792911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28388828160).

12792911040 is an abundant number, since it is smaller than the sum of its proper divisors (43984745280).

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

12792911040 is a wasteful number, since it uses less digits than its factorization.

12792911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 12792911040 in words is "twelve billion, seven hundred ninety-two million, nine hundred eleven thousand, forty".