14314352400 has 240 divisors, whose sum is σ = 51580637120. Its totient is φ = 3816927360.

The previous prime is 14314352399. The next prime is 14314352407. The reversal of 14314352400 is 425341341.

It is a happy number.

14314352400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (14314352407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 866619 + ... + 882981.

Almost surely, 2^14314352400 is an apocalyptic number.

14314352400 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 14314352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25790318560).

14314352400 is an abundant number, since it is smaller than the sum of its proper divisors (37266284720).

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

14314352400 is an equidigital number, since it uses as much as digits as its factorization.

14314352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16402 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14314352400 its reverse (425341341), we get a palindrome (14739693741).

The spelling of 14314352400 in words is "fourteen billion, three hundred fourteen million, three hundred fifty-two thousand, four hundred".