14214214400 has 54 divisors (see below), whose sum is σ = 35182417452. Its totient is φ = 5685683200.

The previous prime is 14214214373. The next prime is 14214214423. The reversal of 14214214400 is 441241241.

14214214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1104086 + ... + 1116885.

Almost surely, 2^14214214400 is an apocalyptic number.

14214214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214214400 is an abundant number, since it is smaller than the sum of its proper divisors (20968203052).

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

14214214400 is an equidigital number, since it uses as much as digits as its factorization.

14214214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220997 (or 2220978 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 14214214400 its reverse (441241241), we get a palindrome (14655455641).

The spelling of 14214214400 in words is "fourteen billion, two hundred fourteen million, two hundred fourteen thousand, four hundred".