14400200144 has 40 divisors (see below), whose sum is σ = 30451824768. Its totient is φ = 6542311680.

The previous prime is 14400200141. The next prime is 14400200153. The reversal of 14400200144 is 44100200441.

It is a happy number.

14400200144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400200141) 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 7 ways as a sum of consecutive naturals, for example, 356969 + ... + 395255.

Almost surely, 2^14400200144 is an apocalyptic number.

It is an amenable number.

14400200144 is an abundant number, since it is smaller than the sum of its proper divisors (16051624624).

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

14400200144 is a wasteful number, since it uses less digits than its factorization.

14400200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40443 (or 40437 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14400200144 its reverse (44100200441), we get a palindrome (58500400585).

The spelling of 14400200144 in words is "fourteen billion, four hundred million, two hundred thousand, one hundred forty-four".