14334430000 has 200 divisors, whose sum is σ = 38154986496. Its totient is φ = 5172000000.

The previous prime is 14334429997. The next prime is 14334430003. The reversal of 14334430000 is 3443341.

It is an interprime number because it is at equal distance from previous prime (14334429997) and next prime (14334430003).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (14334430003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16609569 + ... + 16610431.

Almost surely, 2^14334430000 is an apocalyptic number.

14334430000 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 14334430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077493248).

14334430000 is an abundant number, since it is smaller than the sum of its proper divisors (23820556496).

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

14334430000 is a wasteful number, since it uses less digits than its factorization.

14334430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 14334430000 its reverse (3443341), we get a palindrome (14337873341).

The spelling of 14334430000 in words is "fourteen billion, three hundred thirty-four million, four hundred thirty thousand".