13241413214400 has 336 divisors, whose sum is σ = 50011412921856. Its totient is φ = 3004515655680.

The previous prime is 13241413214353. The next prime is 13241413214413. The reversal of 13241413214400 is 441231414231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164917 + ... + 6041483.

Almost surely, 2^{13241413214400} is an apocalyptic number.

13241413214400 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 13241413214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25005706460928).

13241413214400 is an abundant number, since it is smaller than the sum of its proper divisors (36769999707456).

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

13241413214400 is a wasteful number, since it uses less digits than its factorization.

13241413214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876736 (or 2876721 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13241413214400 its reverse (441231414231), we get a palindrome (13682644628631).

The spelling of 13241413214400 in words is "thirteen trillion, two hundred forty-one billion, four hundred thirteen million, two hundred fourteen thousand, four hundred".