12491839958400 has 2304 divisors, whose sum is σ = 53759229189120. Its totient is φ = 2830712832000.

The previous prime is 12491839958341. The next prime is 12491839958413. The reversal of 12491839958400 is 485993819421.

12491839958400 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 18 + 39 + 9 + 584 + 0 + 0 = 666.

It is a congruent number.

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, 39406435042 + ... + 39406435358.

It is an arithmetic number, because the mean of its divisors is an integer number (23332998780).

Almost surely, 2^{12491839958400} is an apocalyptic number.

12491839958400 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 12491839958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26879614594560).

12491839958400 is an abundant number, since it is smaller than the sum of its proper divisors (41267389230720).

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

12491839958400 is a wasteful number, since it uses less digits than its factorization.

12491839958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 12491839958400 in words is "twelve trillion, four hundred ninety-one billion, eight hundred thirty-nine million, nine hundred fifty-eight thousand, four hundred".