14371214400 has 567 divisors, whose sum is σ = 54512831919. Its totient is φ = 3728747520.

The previous prime is 14371214369. The next prime is 14371214411. The reversal of 14371214400 is 441217341.

The square root of 14371214400 is 119880.

It is a perfect power (a square), and thus also a powerful number.

14371214400 is a `hidden beast` number, since 1 + 43 + 7 + 1 + 214 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1364268096 + 13006946304 = 36936^2 + 114048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 388411182 + ... + 388411218.

Almost surely, 2^14371214400 is an apocalyptic number.

14371214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14371214400 is the 119880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14371214400

14371214400 is an abundant number, since it is smaller than the sum of its proper divisors (40141617519).

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

14371214400 is an frugal number, since it uses more digits than its factorization.

14371214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14371214400 in words is "fourteen billion, three hundred seventy-one million, two hundred fourteen thousand, four hundred".