13104440140512 has 576 divisors, whose sum is σ = 41389779816000. Its totient is φ = 3617461370880.

The previous prime is 13104440140507. The next prime is 13104440140577. The reversal of 13104440140512 is 21504104440131.

It is a self number, because there is not a number n which added to its sum of digits gives 13104440140512.

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, 17040884064 + ... + 17040884832.

It is an arithmetic number, because the mean of its divisors is an integer number (71857256625).

Almost surely, 2^{13104440140512} is an apocalyptic number.

13104440140512 is a gapful number since it is divisible by the number (12) 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 13104440140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20694889908000).

13104440140512 is an abundant number, since it is smaller than the sum of its proper divisors (28285339675488).

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

13104440140512 is a wasteful number, since it uses less digits than its factorization.

13104440140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 13104440140512 its reverse (21504104440131), we get a palindrome (34608544580643).

The spelling of 13104440140512 in words is "thirteen trillion, one hundred four billion, four hundred forty million, one hundred forty thousand, five hundred twelve".