14320400224 has 72 divisors (see below), whose sum is σ = 30844686600. Its totient is φ = 6541037568.

The previous prime is 14320400207. The next prime is 14320400359. The reversal of 14320400224 is 42200402341.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14320400195 and 14320400204.

It is a congruent 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, 510927 + ... + 538225.

It is an arithmetic number, because the mean of its divisors is an integer number (428398425).

Almost surely, 2^14320400224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14320400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422343300).

14320400224 is an abundant number, since it is smaller than the sum of its proper divisors (16524286376).

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

14320400224 is a wasteful number, since it uses less digits than its factorization.

14320400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27432 (or 27411 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 14320400224 its reverse (42200402341), we get a palindrome (56520802565).

The spelling of 14320400224 in words is "fourteen billion, three hundred twenty million, four hundred thousand, two hundred twenty-four".