12974955840 has 1008 divisors, whose sum is σ = 58433671296. Its totient is φ = 2682408960.

The previous prime is 12974955803. The next prime is 12974955863. The reversal of 12974955840 is 4855947921.

It is a happy number.

12974955840 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 49 + 558 + 40 = 666.

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

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65862622 + ... + 65862818.

It is an arithmetic number, because the mean of its divisors is an integer number (57969912).

Almost surely, 2^12974955840 is an apocalyptic number.

12974955840 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 12974955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29216835648).

12974955840 is an abundant number, since it is smaller than the sum of its proper divisors (45458715456).

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

12974955840 is a wasteful number, since it uses less digits than its factorization.

12974955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12974955840 in words is "twelve billion, nine hundred seventy-four million, nine hundred fifty-five thousand, eight hundred forty".