14413430200 has 96 divisors (see below), whose sum is σ = 36159248160. Its totient is φ = 5311526400.

The previous prime is 14413430197. The next prime is 14413430203. The reversal of 14413430200 is 203431441.

It is an interprime number because it is at equal distance from previous prime (14413430197) and next prime (14413430203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413430203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401477 + ... + 1411723.

It is an arithmetic number, because the mean of its divisors is an integer number (376658835).

Almost surely, 2^14413430200 is an apocalyptic number.

14413430200 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 14413430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079624080).

14413430200 is an abundant number, since it is smaller than the sum of its proper divisors (21745817960).

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

14413430200 is a wasteful number, since it uses less digits than its factorization.

14413430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14413430200 its reverse (203431441), we get a palindrome (14616861641).

The spelling of 14413430200 in words is "fourteen billion, four hundred thirteen million, four hundred thirty thousand, two hundred".