12907514838240 has 1920 divisors, whose sum is σ = 55710376888320. Its totient is φ = 2776699699200.

The previous prime is 12907514838233. The next prime is 12907514838241. The reversal of 12907514838240 is 4283841570921.

12907514838240 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 7 + 514 + 8 + 3 + 82 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12907514838241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3022127305 + ... + 3022131575.

It is an arithmetic number, because the mean of its divisors is an integer number (29015821296).

Almost surely, 2^{12907514838240} is an apocalyptic number.

12907514838240 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 12907514838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855188444160).

12907514838240 is an abundant number, since it is smaller than the sum of its proper divisors (42802862050080).

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

12907514838240 is a wasteful number, since it uses less digits than its factorization.

12907514838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12907514838240 in words is "twelve trillion, nine hundred seven billion, five hundred fourteen million, eight hundred thirty-eight thousand, two hundred forty".