14210400144 has 40 divisors (see below), whose sum is σ = 36714678880. Its totient is φ = 4736222208.

The previous prime is 14210400091. The next prime is 14210400161. The reversal of 14210400144 is 44100401241.

14210400144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14210400144.

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 7 ways as a sum of consecutive naturals, for example, 591927 + ... + 615465.

It is an arithmetic number, because the mean of its divisors is an integer number (917866972).

Almost surely, 2^14210400144 is an apocalyptic number.

It is an amenable number.

14210400144 is an abundant number, since it is smaller than the sum of its proper divisors (22504278736).

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

14210400144 is a wasteful number, since it uses less digits than its factorization.

14210400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36127 (or 36121 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14210400144 its reverse (44100401241), we get a palindrome (58310801385).

The spelling of 14210400144 in words is "fourteen billion, two hundred ten million, four hundred thousand, one hundred forty-four".