13105412025440 has 48 divisors (see below), whose sum is σ = 35384612471712. Its totient is φ = 4493284122624.

The previous prime is 13105412025289. The next prime is 13105412025449. The reversal of 13105412025440 is 4452021450131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13105412025397 and 13105412025406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105412025449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5850629249 + ... + 5850631488.

It is an arithmetic number, because the mean of its divisors is an integer number (737179426494).

Almost surely, 2^{13105412025440} is an apocalyptic number.

13105412025440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105412025440 is an abundant number, since it is smaller than the sum of its proper divisors (22279200446272).

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

13105412025440 is a wasteful number, since it uses less digits than its factorization.

13105412025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11701260759 (or 11701260751 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 13105412025440 its reverse (4452021450131), we get a palindrome (17557433475571).

The spelling of 13105412025440 in words is "thirteen trillion, one hundred five billion, four hundred twelve million, twenty-five thousand, four hundred forty".