14440442400 has 144 divisors (see below), whose sum is σ = 52226344800. Its totient is φ = 3850778880.

The previous prime is 14440442389. The next prime is 14440442437. The reversal of 14440442400 is 424404441.

14440442400 is a `hidden beast` number, since 14 + 4 + 404 + 4 + 240 + 0 = 666.

14440442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 312670 + ... + 355869.

It is an arithmetic number, because the mean of its divisors is an integer number (362682950).

Almost surely, 2^14440442400 is an apocalyptic number.

14440442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14440442400 is an abundant number, since it is smaller than the sum of its proper divisors (37785902400).

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

14440442400 is a wasteful number, since it uses less digits than its factorization.

14440442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668568 (or 668549 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 14440442400 its reverse (424404441), we get a palindrome (14864846841).

The spelling of 14440442400 in words is "fourteen billion, four hundred forty million, four hundred forty-two thousand, four hundred".