14304142400 has 84 divisors (see below), whose sum is σ = 37049689680. Its totient is φ = 5420505600.

The previous prime is 14304142367. The next prime is 14304142423. The reversal of 14304142400 is 424140341.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204866 + ... + 265665.

Almost surely, 2^14304142400 is an apocalyptic number.

14304142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14304142400 is an abundant number, since it is smaller than the sum of its proper divisors (22745547280).

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

14304142400 is a wasteful number, since it uses less digits than its factorization.

14304142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470572 (or 470557 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14304142400 its reverse (424140341), we get a palindrome (14728282741).

The spelling of 14304142400 in words is "fourteen billion, three hundred four million, one hundred forty-two thousand, four hundred".