12794618384400 has 120 divisors (see below), whose sum is σ = 43142555401120. Its totient is φ = 3232324638720.

The previous prime is 12794618384377. The next prime is 12794618384447. The reversal of 12794618384400 is 448381649721.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280560937 + ... + 280606536.

Almost surely, 2^{12794618384400} is an apocalyptic number.

12794618384400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12794618384400 is an abundant number, since it is smaller than the sum of its proper divisors (30347937016720).

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

12794618384400 is a wasteful number, since it uses less digits than its factorization.

12794618384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561167513 (or 561167502 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 12794618384400 in words is "twelve trillion, seven hundred ninety-four billion, six hundred eighteen million, three hundred eighty-four thousand, four hundred".