12844636313040 has 960 divisors, whose sum is σ = 54080252928000. Its totient is φ = 2722169576448.

The previous prime is 12844636313029. The next prime is 12844636313107. The reversal of 12844636313040 is 4031363644821.

12844636313040 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 4 + 6 + 3 + 631 + 3 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 220506159 + ... + 220564401.

It is an arithmetic number, because the mean of its divisors is an integer number (56333596800).

Almost surely, 2^{12844636313040} is an apocalyptic number.

12844636313040 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 12844636313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27040126464000).

12844636313040 is an abundant number, since it is smaller than the sum of its proper divisors (41235616614960).

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

12844636313040 is a wasteful number, since it uses less digits than its factorization.

12844636313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58349 (or 58326 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

Adding to 12844636313040 its reverse (4031363644821), we get a palindrome (16875999957861).

The spelling of 12844636313040 in words is "twelve trillion, eight hundred forty-four billion, six hundred thirty-six million, three hundred thirteen thousand, forty".