14331430200 has 384 divisors, whose sum is σ = 48854016000. Its totient is φ = 3461875200.

The previous prime is 14331430193. The next prime is 14331430229. The reversal of 14331430200 is 203413341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37813611 + ... + 37813989.

It is an arithmetic number, because the mean of its divisors is an integer number (127224000).

Almost surely, 2^14331430200 is an apocalyptic number.

14331430200 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 14331430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427008000).

14331430200 is an abundant number, since it is smaller than the sum of its proper divisors (34522585800).

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

14331430200 is a wasteful number, since it uses less digits than its factorization.

14331430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14331430200 its reverse (203413341), we get a palindrome (14534843541).

The spelling of 14331430200 in words is "fourteen billion, three hundred thirty-one million, four hundred thirty thousand, two hundred".