12839431021440 has 768 divisors, whose sum is σ = 45513501143040. Its totient is φ = 3074280652800.

The previous prime is 12839431021393. The next prime is 12839431021477. The reversal of 12839431021440 is 4412013493821.

12839431021440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12839431021392 and 12839431021401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1221285624 + ... + 1221296136.

It is an arithmetic number, because the mean of its divisors is an integer number (59262371280).

Almost surely, 2^{12839431021440} is an apocalyptic number.

12839431021440 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 12839431021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22756750571520).

12839431021440 is an abundant number, since it is smaller than the sum of its proper divisors (32674070121600).

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

12839431021440 is a wasteful number, since it uses less digits than its factorization.

12839431021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10671 (or 10642 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 12839431021440 in words is "twelve trillion, eight hundred thirty-nine billion, four hundred thirty-one million, twenty-one thousand, four hundred forty".