14400414321 has 16 divisors (see below), whose sum is σ = 19530409920. Its totient is φ = 9435421440.

The previous prime is 14400414307. The next prime is 14400414323. The reversal of 14400414321 is 12341400441.

14400414321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14400414321 - 2⁶ = 14400414257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14400414291 and 14400414300.

It is not an unprimeable number, because it can be changed into a prime (14400414323) 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 15 ways as a sum of consecutive naturals, for example, 1290261 + ... + 1301373.

It is an arithmetic number, because the mean of its divisors is an integer number (1220650620).

Almost surely, 2^14400414321 is an apocalyptic number.

It is an amenable number.

14400414321 is a deficient number, since it is larger than the sum of its proper divisors (5129995599).

14400414321 is a wasteful number, since it uses less digits than its factorization.

14400414321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18496.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14400414321 its reverse (12341400441), we get a palindrome (26741814762).

The spelling of 14400414321 in words is "fourteen billion, four hundred million, four hundred fourteen thousand, three hundred twenty-one".