12797946131040 has 1152 divisors, whose sum is σ = 55132909977600. Its totient is φ = 2635822632960.

The previous prime is 12797946131029. The next prime is 12797946131081. The reversal of 12797946131040 is 4013164979721.

12797946131040 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 7 + 9 + 4 + 613 + 10 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 788479725 + ... + 788495955.

It is an arithmetic number, because the mean of its divisors is an integer number (47858428800).

Almost surely, 2^{12797946131040} is an apocalyptic number.

12797946131040 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 12797946131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27566454988800).

12797946131040 is an abundant number, since it is smaller than the sum of its proper divisors (42334963846560).

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

12797946131040 is a wasteful number, since it uses less digits than its factorization.

12797946131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16480 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12797946131040 in words is "twelve trillion, seven hundred ninety-seven billion, nine hundred forty-six million, one hundred thirty-one thousand, forty".