14321002144000 has 144 divisors (see below), whose sum is σ = 36639609669936. Its totient is φ = 5573578752000.

The previous prime is 14321002143997. The next prime is 14321002144021. The reversal of 14321002144000 is 44120012341.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 362827931904 + 13958174212096 = 602352^2 + 3736064^2 .

It is a super-2 number, since 2×14321002144000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4863721 + ... + 7231720.

It is an arithmetic number, because the mean of its divisors is an integer number (254441733819).

Almost surely, 2^{14321002144000} is an apocalyptic number.

14321002144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14321002144000 is an abundant number, since it is smaller than the sum of its proper divisors (22318607525936).

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

14321002144000 is an equidigital number, since it uses as much as digits as its factorization.

14321002144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095509 (or 12095485 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14321002144000 its reverse (44120012341), we get a palindrome (14365122156341).

The spelling of 14321002144000 in words is "fourteen trillion, three hundred twenty-one billion, two million, one hundred forty-four thousand".