14400405324 has 72 divisors (see below), whose sum is σ = 37800741888. Its totient is φ = 4617416160.

The previous prime is 14400405319. The next prime is 14400405337. The reversal of 14400405324 is 42350400441.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147739 + ... + 225005.

It is an arithmetic number, because the mean of its divisors is an integer number (525010304).

Almost surely, 2^14400405324 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 14400405324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900370944).

14400405324 is an abundant number, since it is smaller than the sum of its proper divisors (23400336564).

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

14400405324 is a wasteful number, since it uses less digits than its factorization.

14400405324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77475 (or 77470 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14400405324 its reverse (42350400441), we get a palindrome (56750805765).

The spelling of 14400405324 in words is "fourteen billion, four hundred million, four hundred five thousand, three hundred twenty-four".