12940023633984 has 224 divisors, whose sum is σ = 38167074288000. Its totient is φ = 4299088435200.

The previous prime is 12940023633937. The next prime is 12940023634007. The reversal of 12940023633984 is 48933632004921.

12940023633984 is a `hidden beast` number, since 1 + 294 + 0 + 0 + 236 + 33 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12940023633984.

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 31 ways as a sum of consecutive naturals, for example, 2289861559 + ... + 2289867209.

It is an arithmetic number, because the mean of its divisors is an integer number (170388724500).

Almost surely, 2^{12940023633984} 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 12940023633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083537144000).

12940023633984 is an abundant number, since it is smaller than the sum of its proper divisors (25227050654016).

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

12940023633984 is a wasteful number, since it uses less digits than its factorization.

12940023633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 12940023633984 in words is "twelve trillion, nine hundred forty billion, twenty-three million, six hundred thirty-three thousand, nine hundred eighty-four".