13443974400 has 432 divisors, whose sum is σ = 47218852800. Its totient is φ = 3359047680.

The previous prime is 13443974387. The next prime is 13443974417. The reversal of 13443974400 is 447934431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49977466 + ... + 49977734.

It is an arithmetic number, because the mean of its divisors is an integer number (109302900).

Almost surely, 2^13443974400 is an apocalyptic number.

13443974400 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 13443974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23609426400).

13443974400 is an abundant number, since it is smaller than the sum of its proper divisors (33774878400).

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

13443974400 is a wasteful number, since it uses less digits than its factorization.

13443974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 13443974400 in words is "thirteen billion, four hundred forty-three million, nine hundred seventy-four thousand, four hundred".