14301413300000 has 288 divisors, whose sum is σ = 35399796768000. Its totient is φ = 5687019520000.

The previous prime is 14301413299937. The next prime is 14301413300033. The reversal of 14301413300000 is 331410341.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 19890699641 + ... + 19890700359.

It is an arithmetic number, because the mean of its divisors is an integer number (122915961000).

Almost surely, 2^{14301413300000} is an apocalyptic number.

14301413300000 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 14301413300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699898384000).

14301413300000 is an abundant number, since it is smaller than the sum of its proper divisors (21098383468000).

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

14301413300000 is an frugal number, since it uses more digits than its factorization.

14301413300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 14301413300000 its reverse (331410341), we get a palindrome (14301744710341).

The spelling of 14301413300000 in words is "fourteen trillion, three hundred one billion, four hundred thirteen million, three hundred thousand".