14001044200 has 384 divisors, whose sum is σ = 39968691840. Its totient is φ = 4492800000.

The previous prime is 14001044191. The next prime is 14001044201. The reversal of 14001044200 is 244010041.

14001044200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14001044201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106878135 + ... + 106878265.

It is an arithmetic number, because the mean of its divisors is an integer number (104085135).

Almost surely, 2^14001044200 is an apocalyptic number.

14001044200 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 14001044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984345920).

14001044200 is an abundant number, since it is smaller than the sum of its proper divisors (25967647640).

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

14001044200 is a wasteful number, since it uses less digits than its factorization.

14001044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14001044200 its reverse (244010041), we get a palindrome (14245054241).

The spelling of 14001044200 in words is "fourteen billion, one million, forty-four thousand, two hundred".