13344840045600 has 2304 divisors, whose sum is σ = 55238464512000. Its totient is φ = 2788079616000.

The previous prime is 13344840045553. The next prime is 13344840045611. The reversal of 13344840045600 is 654004844331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 383 ways as a sum of consecutive naturals, for example, 67740304702 + ... + 67740304898.

It is an arithmetic number, because the mean of its divisors is an integer number (23975028000).

Almost surely, 2^{13344840045600} is an apocalyptic number.

13344840045600 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 13344840045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27619232256000).

13344840045600 is an abundant number, since it is smaller than the sum of its proper divisors (41893624466400).

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

13344840045600 is a wasteful number, since it uses less digits than its factorization.

13344840045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 13344840045600 its reverse (654004844331), we get a palindrome (13998844889931).

The spelling of 13344840045600 in words is "thirteen trillion, three hundred forty-four billion, eight hundred forty million, forty-five thousand, six hundred".