14404000200 has 192 divisors, whose sum is σ = 45204160320. Its totient is φ = 3793920000.

The previous prime is 14404000181. The next prime is 14404000231. The reversal of 14404000200 is 200040441.

14404000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14404000200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31518372 + ... + 31518828.

It is an arithmetic number, because the mean of its divisors is an integer number (235438335).

Almost surely, 2^14404000200 is an apocalyptic number.

14404000200 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 14404000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22602080160).

14404000200 is an abundant number, since it is smaller than the sum of its proper divisors (30800160120).

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

14404000200 is a wasteful number, since it uses less digits than its factorization.

14404000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 14404000200 its reverse (200040441), we get a palindrome (14604040641).

The spelling of 14404000200 in words is "fourteen billion, four hundred four million, two hundred", and thus it is an aban number.