12879139469040 has 400 divisors, whose sum is σ = 48210143290848. Its totient is φ = 3167740680192.

The previous prime is 12879139469029. The next prime is 12879139469047. The reversal of 12879139469040 is 4096493197821.

12879139469040 is a `hidden beast` number, since 1 + 2 + 87 + 91 + 3 + 9 + 469 + 0 + 4 + 0 = 666.

12879139469040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12879139469047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107514619 + ... + 107634341.

Almost surely, 2^{12879139469040} is an apocalyptic number.

12879139469040 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 12879139469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105071645424).

12879139469040 is an abundant number, since it is smaller than the sum of its proper divisors (35331003821808).

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

12879139469040 is a wasteful number, since it uses less digits than its factorization.

12879139469040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121038 (or 121023 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 12879139469040 in words is "twelve trillion, eight hundred seventy-nine billion, one hundred thirty-nine million, four hundred sixty-nine thousand, forty".