14114443200 has 336 divisors, whose sum is σ = 54405434496. Its totient is φ = 3158323200.

The previous prime is 14114443193. The next prime is 14114443229. The reversal of 14114443200 is 234441141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676119 + ... + 696681.

It is an arithmetic number, because the mean of its divisors is an integer number (161920936).

Almost surely, 2^14114443200 is an apocalyptic number.

14114443200 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 14114443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27202717248).

14114443200 is an abundant number, since it is smaller than the sum of its proper divisors (40290991296).

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

14114443200 is a wasteful number, since it uses less digits than its factorization.

14114443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612 (or 20597 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14114443200 its reverse (234441141), we get a palindrome (14348884341).

The spelling of 14114443200 in words is "fourteen billion, one hundred fourteen million, four hundred forty-three thousand, two hundred".