12840946727904 has 576 divisors, whose sum is σ = 40013856852480. Its totient is φ = 4004955187200.

The previous prime is 12840946727899. The next prime is 12840946727929. The reversal of 12840946727904 is 40972764904821.

12840946727904 is a `hidden beast` number, since 1 + 2 + 84 + 0 + 9 + 467 + 2 + 7 + 90 + 4 = 666.

12840946727904 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 95 ways as a sum of consecutive naturals, for example, 4624034164 + ... + 4624036940.

It is an arithmetic number, because the mean of its divisors is an integer number (69468501480).

Almost surely, 2^{12840946727904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12840946727904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006928426240).

12840946727904 is an abundant number, since it is smaller than the sum of its proper divisors (27172910124576).

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

12840946727904 is a wasteful number, since it uses less digits than its factorization.

12840946727904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 12840946727904 in words is "twelve trillion, eight hundred forty billion, nine hundred forty-six million, seven hundred twenty-seven thousand, nine hundred four".