14344100400 has 120 divisors (see below), whose sum is σ = 52513099264. Its totient is φ = 3278649600.

The previous prime is 14344100357. The next prime is 14344100411. The reversal of 14344100400 is 400144341.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845416 + ... + 862215.

Almost surely, 2^14344100400 is an apocalyptic number.

14344100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14344100400 is an abundant number, since it is smaller than the sum of its proper divisors (38168998864).

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

14344100400 is a wasteful number, since it uses less digits than its factorization.

14344100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707659 (or 1707648 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14344100400 its reverse (400144341), we get a palindrome (14744244741).

The spelling of 14344100400 in words is "fourteen billion, three hundred forty-four million, one hundred thousand, four hundred".