12879260119440 has 2880 divisors, whose sum is σ = 56949614991360. Its totient is φ = 2573360824320.

The previous prime is 12879260119433. The next prime is 12879260119457. The reversal of 12879260119440 is 4491106297821.

12879260119440 is a `hidden beast` number, since 1 + 2 + 87 + 9 + 2 + 6 + 0 + 119 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 56736828607 + ... + 56736828833.

It is an arithmetic number, because the mean of its divisors is an integer number (19774171872).

Almost surely, 2^{12879260119440} is an apocalyptic number.

12879260119440 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 12879260119440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28474807495680).

12879260119440 is an abundant number, since it is smaller than the sum of its proper divisors (44070354871920).

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

12879260119440 is a wasteful number, since it uses less digits than its factorization.

12879260119440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12879260119440 in words is "twelve trillion, eight hundred seventy-nine billion, two hundred sixty million, one hundred nineteen thousand, four hundred forty".