12730991040 has 336 divisors, whose sum is σ = 46367212320. Its totient is φ = 3197214720.

The previous prime is 12730991023. The next prime is 12730991051. The reversal of 12730991040 is 4019903721.

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 = 12730990986 and 12730991004.

It is a congruent number.

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, 10779250 + ... + 10780430.

Almost surely, 2^12730991040 is an apocalyptic number.

12730991040 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 12730991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183606160).

12730991040 is an abundant number, since it is smaller than the sum of its proper divisors (33636221280).

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

12730991040 is a wasteful number, since it uses less digits than its factorization.

12730991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12730991040 in words is "twelve billion, seven hundred thirty million, nine hundred ninety-one thousand, forty".