13121410120440 has 128 divisors (see below), whose sum is σ = 39723260371200. Its totient is φ = 3467225226240.

The previous prime is 13121410120433. The next prime is 13121410120453. The reversal of 13121410120440 is 4402101412131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13121410120440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7971580 + ... + 9475700.

It is an arithmetic number, because the mean of its divisors is an integer number (310337971650).

Almost surely, 2^{13121410120440} is an apocalyptic number.

13121410120440 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 13121410120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19861630185600).

13121410120440 is an abundant number, since it is smaller than the sum of its proper divisors (26601850250760).

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

13121410120440 is a wasteful number, since it uses less digits than its factorization.

13121410120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504797 (or 1504793 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13121410120440 its reverse (4402101412131), we get a palindrome (17523511532571).

The spelling of 13121410120440 in words is "thirteen trillion, one hundred twenty-one billion, four hundred ten million, one hundred twenty thousand, four hundred forty".