14440144000 has 128 divisors (see below), whose sum is σ = 37140994800. Its totient is φ = 5576704000.

The previous prime is 14440143947. The next prime is 14440144003. The reversal of 14440144000 is 44104441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 612265536 + 13827878464 = 24744^2 + 117592^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (14440144003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448440 + ... + 479560.

Almost surely, 2^14440144000 is an apocalyptic number.

14440144000 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 14440144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570497400).

14440144000 is an abundant number, since it is smaller than the sum of its proper divisors (22700850800).

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

14440144000 is an equidigital number, since it uses as much as digits as its factorization.

14440144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31179 (or 31157 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 14440144000 its reverse (44104441), we get a palindrome (14484248441).

It can be divided in two parts, 14440 and 144000, that multiplied together give a square (2079360000 = 45600²).

The spelling of 14440144000 in words is "fourteen billion, four hundred forty million, one hundred forty-four thousand".