13342144021344 has 480 divisors, whose sum is σ = 41108485017600. Its totient is φ = 4240190592000.

The previous prime is 13342144021159. The next prime is 13342144021379. The reversal of 13342144021344 is 44312044124331.

13342144021344 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 214 + 402 + 1 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13342144021299 and 13342144021308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1646970894 + ... + 1646978994.

It is an arithmetic number, because the mean of its divisors is an integer number (85642677120).

Almost surely, 2^{13342144021344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342144021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20554242508800).

13342144021344 is an abundant number, since it is smaller than the sum of its proper divisors (27766340996256).

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

13342144021344 is a wasteful number, since it uses less digits than its factorization.

13342144021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8456 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13342144021344 its reverse (44312044124331), we get a palindrome (57654188145675).

The spelling of 13342144021344 in words is "thirteen trillion, three hundred forty-two billion, one hundred forty-four million, twenty-one thousand, three hundred forty-four".