14340220400 has 120 divisors (see below), whose sum is σ = 37644507264. Its totient is φ = 5206291200.

The previous prime is 14340220369. The next prime is 14340220421. The reversal of 14340220400 is 402204341.

It is a super-2 number, since 2×14340220400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 3196559 + ... + 3201041.

Almost surely, 2^14340220400 is an apocalyptic number.

14340220400 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 14340220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18822253632).

14340220400 is an abundant number, since it is smaller than the sum of its proper divisors (23304286864).

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

14340220400 is a wasteful number, since it uses less digits than its factorization.

14340220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14340220400 its reverse (402204341), we get a palindrome (14742424741).

The spelling of 14340220400 in words is "fourteen billion, three hundred forty million, two hundred twenty thousand, four hundred".