13368437414400 has 240 divisors, whose sum is σ = 44239482777600. Its totient is φ = 3558645596160.

The previous prime is 13368437414369. The next prime is 13368437414419. The reversal of 13368437414400 is 441473486331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×13368437414400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13368437414400.

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 23 ways as a sum of consecutive naturals, for example, 21543681 + ... + 22155519.

It is an arithmetic number, because the mean of its divisors is an integer number (184331178240).

Almost surely, 2^{13368437414400} is an apocalyptic number.

13368437414400 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 13368437414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22119741388800).

13368437414400 is an abundant number, since it is smaller than the sum of its proper divisors (30871045363200).

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

13368437414400 is an equidigital number, since it uses as much as digits as its factorization.

13368437414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612439 (or 612418 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 13368437414400 in words is "thirteen trillion, three hundred sixty-eight billion, four hundred thirty-seven million, four hundred fourteen thousand, four hundred".