12413934618240 has 256 divisors, whose sum is σ = 40466483729280. Its totient is φ = 3236136615936.

The previous prime is 12413934618223. The next prime is 12413934618277. The reversal of 12413934618240 is 4281643931421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12413934618240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15446179 + ... + 16229981.

Almost surely, 2^{12413934618240} is an apocalyptic number.

12413934618240 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 12413934618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233241864640).

12413934618240 is an abundant number, since it is smaller than the sum of its proper divisors (28052549111040).

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

12413934618240 is a wasteful number, since it uses less digits than its factorization.

12413934618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784011 (or 783999 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 12413934618240 in words is "twelve trillion, four hundred thirteen billion, nine hundred thirty-four million, six hundred eighteen thousand, two hundred forty".