12698372863440 has 480 divisors, whose sum is σ = 46750270469760. Its totient is φ = 3063339417600.

The previous prime is 12698372863411. The next prime is 12698372863447. The reversal of 12698372863440 is 4436827389621.

12698372863440 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 8 + 3 + 7 + 286 + 344 + 0 = 666.

It is a super-2 number, since 2×12698372863440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12698372863447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1491640624 + ... + 1491649136.

It is an arithmetic number, because the mean of its divisors is an integer number (97396396812).

Almost surely, 2^{12698372863440} is an apocalyptic number.

12698372863440 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 12698372863440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23375135234880).

12698372863440 is an abundant number, since it is smaller than the sum of its proper divisors (34051897606320).

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

12698372863440 is a wasteful number, since it uses less digits than its factorization.

12698372863440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9443 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 12698372863440 in words is "twelve trillion, six hundred ninety-eight billion, three hundred seventy-two million, eight hundred sixty-three thousand, four hundred forty".