14400320214 has 144 divisors (see below), whose sum is σ = 35030923200. Its totient is φ = 3934510272.

The previous prime is 14400320213. The next prime is 14400320227. The reversal of 14400320214 is 41202300441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400320213) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 34368097 + ... + 34368515.

It is an arithmetic number, because the mean of its divisors is an integer number (243270300).

Almost surely, 2^14400320214 is an apocalyptic number.

14400320214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14400320214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17515461600).

14400320214 is an abundant number, since it is smaller than the sum of its proper divisors (20630602986).

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

14400320214 is a wasteful number, since it uses less digits than its factorization.

14400320214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 599 counting only the distinct ones).

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

Adding to 14400320214 its reverse (41202300441), we get a palindrome (55602620655).

The spelling of 14400320214 in words is "fourteen billion, four hundred million, three hundred twenty thousand, two hundred fourteen".