12398994368640 has 2304 divisors, whose sum is σ = 52495653450240. Its totient is φ = 2680132730880.

The previous prime is 12398994368611. The next prime is 12398994368687. The reversal of 12398994368640 is 4686349989321.

12398994368640 is a `hidden beast` number, since 1 + 2 + 39 + 89 + 9 + 436 + 86 + 4 + 0 = 666.

It is a super-2 number, since 2×12398994368640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 47144465149 + ... + 47144465411.

It is an arithmetic number, because the mean of its divisors is an integer number (22784571810).

Almost surely, 2^{12398994368640} is an apocalyptic number.

12398994368640 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 12398994368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26247826725120).

12398994368640 is an abundant number, since it is smaller than the sum of its proper divisors (40096659081600).

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

12398994368640 is a wasteful number, since it uses less digits than its factorization.

12398994368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 12398994368640 in words is "twelve trillion, three hundred ninety-eight billion, nine hundred ninety-four million, three hundred sixty-eight thousand, six hundred forty".