14330344400000 has 192 divisors, whose sum is σ = 35833175280000. Its totient is φ = 5708115840000.

The previous prime is 14330344399937. The next prime is 14330344400041. The reversal of 14330344400000 is 444303341.

It is a super-2 number, since 2×14330344400000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95525051 + ... + 95674949.

It is an arithmetic number, because the mean of its divisors is an integer number (186631121250).

Almost surely, 2^{14330344400000} is an apocalyptic number.

14330344400000 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 14330344400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17916587640000).

14330344400000 is an abundant number, since it is smaller than the sum of its proper divisors (21502830880000).

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

14330344400000 is an frugal number, since it uses more digits than its factorization.

14330344400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150177 (or 150145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 14330344400000 its reverse (444303341), we get a palindrome (14330788703341).

The spelling of 14330344400000 in words is "fourteen trillion, three hundred thirty billion, three hundred forty-four million, four hundred thousand".