12707981440 has 576 divisors, whose sum is σ = 41338586520. Its totient is φ = 3709009920.

The previous prime is 12707981431. The next prime is 12707981441. The reversal of 12707981440 is 4418970721.

It can be written as a sum of positive squares in 4 ways, for example, as 12707601984 + 379456 = 112728^2 + 616^2 .

It is a super-2 number, since 2×12707981440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12707981441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64507422 + ... + 64507618.

Almost surely, 2^12707981440 is an apocalyptic number.

12707981440 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 12707981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20669293260).

12707981440 is an abundant number, since it is smaller than the sum of its proper divisors (28630605080).

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

12707981440 is a wasteful number, since it uses less digits than its factorization.

12707981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 12707981440 in words is "twelve billion, seven hundred seven million, nine hundred eighty-one thousand, four hundred forty".