14305313440000 has 180 divisors, whose sum is σ = 38925835557840. Its totient is φ = 5201931520000.

The previous prime is 14305313439979. The next prime is 14305313440037. The reversal of 14305313440000 is 4431350341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2304010 + ... + 5824009.

It is an arithmetic number, because the mean of its divisors is an integer number (216254641988).

Almost surely, 2^{14305313440000} is an apocalyptic number.

14305313440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14305313440000 is an abundant number, since it is smaller than the sum of its proper divisors (24620522117840).

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

14305313440000 is an frugal number, since it uses more digits than its factorization.

14305313440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128066 (or 8128037 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 14305313440000 its reverse (4431350341), we get a palindrome (14309744790341).

The spelling of 14305313440000 in words is "fourteen trillion, three hundred five billion, three hundred thirteen million, four hundred forty thousand".