13407840484224 has 256 divisors, whose sum is σ = 38563825766400. Its totient is φ = 4111331328000.

The previous prime is 13407840484153. The next prime is 13407840484249. The reversal of 13407840484224 is 42248404870431.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230389722 + ... + 230447910.

It is an arithmetic number, because the mean of its divisors is an integer number (150639944400).

Almost surely, 2^{13407840484224} 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 13407840484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19281912883200).

13407840484224 is an abundant number, since it is smaller than the sum of its proper divisors (25155985282176).

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

13407840484224 is a wasteful number, since it uses less digits than its factorization.

13407840484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59021 (or 59009 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 51.

The spelling of 13407840484224 in words is "thirteen trillion, four hundred seven billion, eight hundred forty million, four hundred eighty-four thousand, two hundred twenty-four".