14434421422200 has 384 divisors, whose sum is σ = 48473215015680. Its totient is φ = 3532154572800.

The previous prime is 14434421422177. The next prime is 14434421422219. The reversal of 14434421422200 is 222412443441.

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, 1568442799 + ... + 1568452001.

It is an arithmetic number, because the mean of its divisors is an integer number (126232330770).

Almost surely, 2^{14434421422200} is an apocalyptic number.

14434421422200 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 14434421422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24236607507840).

14434421422200 is an abundant number, since it is smaller than the sum of its proper divisors (34038793593480).

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

14434421422200 is a wasteful number, since it uses less digits than its factorization.

14434421422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 14434421422200 its reverse (222412443441), we get a palindrome (14656833865641).

The spelling of 14434421422200 in words is "fourteen trillion, four hundred thirty-four billion, four hundred twenty-one million, four hundred twenty-two thousand, two hundred".