14430344000 has 112 divisors (see below), whose sum is σ = 35836341840. Its totient is φ = 5756057600.

The previous prime is 14430343997. The next prime is 14430344011. The reversal of 14430344000 is 44303441.

It can be written as a sum of positive squares in 8 ways, for example, as 8496414976 + 5933929024 = 92176^2 + 77032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109682 + ... + 3114318.

Almost surely, 2^14430344000 is an apocalyptic number.

14430344000 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 14430344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918170920).

14430344000 is an abundant number, since it is smaller than the sum of its proper divisors (21405997840).

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

14430344000 is an equidigital number, since it uses as much as digits as its factorization.

14430344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 14430344000 its reverse (44303441), we get a palindrome (14474647441).

The spelling of 14430344000 in words is "fourteen billion, four hundred thirty million, three hundred forty-four thousand".