12969082720440 has 576 divisors, whose sum is σ = 54132949503360. Its totient is φ = 2662402659840.

The previous prime is 12969082720421. The next prime is 12969082720469. The reversal of 12969082720440 is 4402728096921.

It is a happy number.

12969082720440 is a `hidden beast` number, since 1 + 2 + 96 + 90 + 8 + 2 + 7 + 20 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15702687 + ... + 16507953.

It is an arithmetic number, because the mean of its divisors is an integer number (93980815110).

Almost surely, 2^{12969082720440} is an apocalyptic number.

12969082720440 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 12969082720440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066474751680).

12969082720440 is an abundant number, since it is smaller than the sum of its proper divisors (41163866782920).

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

12969082720440 is a wasteful number, since it uses less digits than its factorization.

12969082720440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805392 (or 805378 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12969082720440 in words is "twelve trillion, nine hundred sixty-nine billion, eighty-two million, seven hundred twenty thousand, four hundred forty".