12838931466240 has 768 divisors, whose sum is σ = 48017802792960. Its totient is φ = 2893980631040.

The previous prime is 12838931466233. The next prime is 12838931466259. The reversal of 12838931466240 is 4266413983821.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×12838931466240² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476791657 + ... + 476818583.

It is an arithmetic number, because the mean of its divisors is an integer number (62523180720).

Almost surely, 2^{12838931466240} is an apocalyptic number.

12838931466240 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 12838931466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008901396480).

12838931466240 is an abundant number, since it is smaller than the sum of its proper divisors (35178871326720).

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

12838931466240 is a wasteful number, since it uses less digits than its factorization.

12838931466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27068 (or 27048 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 12838931466240 in words is "twelve trillion, eight hundred thirty-eight billion, nine hundred thirty-one million, four hundred sixty-six thousand, two hundred forty".