12580013440 has 32 divisors (see below), whose sum is σ = 30074096160. Its totient is φ = 5032005120.

The previous prime is 12580013429. The next prime is 12580013471. The reversal of 12580013440 is 4431008521.

12580013440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12580013399 and 12580013408.

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 3 ways as a sum of consecutive naturals, for example, 9827496 + ... + 9828775.

It is an arithmetic number, because the mean of its divisors is an integer number (939815505).

Almost surely, 2^12580013440 is an apocalyptic number.

12580013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12580013440 is an abundant number, since it is smaller than the sum of its proper divisors (17494082720).

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

12580013440 is an equidigital number, since it uses as much as digits as its factorization.

12580013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19656290 (or 19656278 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 12580013440 in words is "twelve billion, five hundred eighty million, thirteen thousand, four hundred forty".