12639079440 has 480 divisors, whose sum is σ = 48330906624. Its totient is φ = 2937876480.

The previous prime is 12639079381. The next prime is 12639079447. The reversal of 12639079440 is 4497093621.

It is a happy number.

12639079440 is a `hidden beast` number, since 1 + 2 + 639 + 0 + 7 + 9 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12639079447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12476374 + ... + 12477386.

Almost surely, 2^12639079440 is an apocalyptic number.

12639079440 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 12639079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165453312).

12639079440 is an abundant number, since it is smaller than the sum of its proper divisors (35691827184).

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

12639079440 is a wasteful number, since it uses less digits than its factorization.

12639079440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12639079440 in words is "twelve billion, six hundred thirty-nine million, seventy-nine thousand, four hundred forty".