12939743416320 has 1040 divisors, whose sum is σ = 55318265798400. Its totient is φ = 2829003522048.

The previous prime is 12939743416307. The next prime is 12939743416333. The reversal of 12939743416320 is 2361434793921.

12939743416320 is a `hidden beast` number, since 1 + 2 + 93 + 97 + 434 + 1 + 6 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12939743416307) and next prime (12939743416333).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 267055456 + ... + 267103904.

Almost surely, 2^{12939743416320} is an apocalyptic number.

12939743416320 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 12939743416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27659132899200).

12939743416320 is an abundant number, since it is smaller than the sum of its proper divisors (42378522382080).

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

12939743416320 is an equidigital number, since it uses as much as digits as its factorization.

12939743416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48520 (or 48489 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 12939743416320 in words is "twelve trillion, nine hundred thirty-nine billion, seven hundred forty-three million, four hundred sixteen thousand, three hundred twenty".