12640315440 has 80 divisors (see below), whose sum is σ = 41247360000. Its totient is φ = 3193341696.

The previous prime is 12640315433. The next prime is 12640315451. The reversal of 12640315440 is 4451304621.

12640315440 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12640315398 and 12640315407.

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 15 ways as a sum of consecutive naturals, for example, 1381440 + ... + 1390559.

It is an arithmetic number, because the mean of its divisors is an integer number (515592000).

Almost surely, 2^12640315440 is an apocalyptic number.

12640315440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12640315440 is an abundant number, since it is smaller than the sum of its proper divisors (28607044560).

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

12640315440 is a wasteful number, since it uses less digits than its factorization.

12640315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772034 (or 2772028 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 12640315440 in words is "twelve billion, six hundred forty million, three hundred fifteen thousand, four hundred forty".