12940838628480 has 2304 divisors, whose sum is σ = 57466506240000. Its totient is φ = 2663095615488.

The previous prime is 12940838628479. The next prime is 12940838628517. The reversal of 12940838628480 is 8482683804921.

12940838628480 is a `hidden beast` number, since 1 + 2 + 94 + 0 + 8 + 3 + 8 + 62 + 8 + 480 = 666.

It is a super-2 number, since 2×12940838628480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29477992101 + ... + 29477992539.

It is an arithmetic number, because the mean of its divisors is an integer number (24942060000).

Almost surely, 2^{12940838628480} is an apocalyptic number.

12940838628480 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 12940838628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28733253120000).

12940838628480 is an abundant number, since it is smaller than the sum of its proper divisors (44525667611520).

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

12940838628480 is a wasteful number, since it uses less digits than its factorization.

12940838628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 12940838628480 in words is "twelve trillion, nine hundred forty billion, eight hundred thirty-eight million, six hundred twenty-eight thousand, four hundred eighty".