13312141044440 has 256 divisors, whose sum is σ = 35563405363200. Its totient is φ = 4387919155200.

The previous prime is 13312141044431. The next prime is 13312141044457. The reversal of 13312141044440 is 4444014121331.

It is a junction number, because it is equal to n+sod(n) for n = 13312141044397 and 13312141044406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2997552620 + ... + 2997557060.

It is an arithmetic number, because the mean of its divisors is an integer number (138919552200).

Almost surely, 2^{13312141044440} is an apocalyptic number.

13312141044440 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 13312141044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781702681600).

13312141044440 is an abundant number, since it is smaller than the sum of its proper divisors (22251264318760).

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

13312141044440 is a wasteful number, since it uses less digits than its factorization.

13312141044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13312141044440 its reverse (4444014121331), we get a palindrome (17756155165771).

The spelling of 13312141044440 in words is "thirteen trillion, three hundred twelve billion, one hundred forty-one million, forty-four thousand, four hundred forty".