12756844343040 has 1152 divisors, whose sum is σ = 50725630771200. Its totient is φ = 2666337730560.

The previous prime is 12756844342981. The next prime is 12756844343053. The reversal of 12756844343040 is 4034344865721.

12756844343040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8058650089 + ... + 8058651671.

It is an arithmetic number, because the mean of its divisors is an integer number (44032665600).

Almost surely, 2^{12756844343040} is an apocalyptic number.

12756844343040 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 12756844343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25362815385600).

12756844343040 is an abundant number, since it is smaller than the sum of its proper divisors (37968786428160).

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

12756844343040 is a wasteful number, since it uses less digits than its factorization.

12756844343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 12756844343040 in words is "twelve trillion, seven hundred fifty-six billion, eight hundred forty-four million, three hundred forty-three thousand, forty".