14113382400 has 1008 divisors, whose sum is σ = 59157047040. Its totient is φ = 3185049600.

The previous prime is 14113382377. The next prime is 14113382417. The reversal of 14113382400 is 428331141.

14113382400 is a `hidden beast` number, since 1 + 411 + 3 + 3 + 8 + 240 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455270385 + ... + 455270415.

Almost surely, 2^14113382400 is an apocalyptic number.

14113382400 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 14113382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29578523520).

14113382400 is an abundant number, since it is smaller than the sum of its proper divisors (45043664640).

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

14113382400 is a wasteful number, since it uses less digits than its factorization.

14113382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14113382400 in words is "fourteen billion, one hundred thirteen million, three hundred eighty-two thousand, four hundred".