12937384434240 has 1008 divisors, whose sum is σ = 52337976949440. Its totient is φ = 2924522496000.

The previous prime is 12937384434187. The next prime is 12937384434287. The reversal of 12937384434240 is 4243448373921.

12937384434240 is a `hidden beast` number, since 1 + 2 + 93 + 7 + 3 + 84 + 434 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5747393115 + ... + 5747395365.

It is an arithmetic number, because the mean of its divisors is an integer number (51922596180).

Almost surely, 2^{12937384434240} is an apocalyptic number.

12937384434240 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 12937384434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26168988474720).

12937384434240 is an abundant number, since it is smaller than the sum of its proper divisors (39400592515200).

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

12937384434240 is a wasteful number, since it uses less digits than its factorization.

12937384434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 12937384434240 in words is "twelve trillion, nine hundred thirty-seven billion, three hundred eighty-four million, four hundred thirty-four thousand, two hundred forty".