13983224400 has 150 divisors (see below), whose sum is σ = 50184786542. Its totient is φ = 3728851200.

The previous prime is 13983224357. The next prime is 13983224413. The reversal of 13983224400 is 442238931.

13983224400 is a `hidden beast` number, since 1 + 398 + 3 + 224 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 235192896 + 13748031504 = 15336^2 + 117252^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 183391 + ... + 248190.

Almost surely, 2^13983224400 is an apocalyptic number.

13983224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13983224400 is an abundant number, since it is smaller than the sum of its proper divisors (36201562142).

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

13983224400 is a wasteful number, since it uses less digits than its factorization.

13983224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431611 (or 431591 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13983224400 in words is "thirteen billion, nine hundred eighty-three million, two hundred twenty-four thousand, four hundred".