14304142201000 has 128 divisors (see below), whose sum is σ = 33805978652160. Its totient is φ = 5664544704000.

The previous prime is 14304142200989. The next prime is 14304142201021. The reversal of 14304142201000 is 10224140341.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417853885 + ... + 417888115.

It is an arithmetic number, because the mean of its divisors is an integer number (264109208220).

Almost surely, 2^{14304142201000} is an apocalyptic number.

14304142201000 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 14304142201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16902989326080).

14304142201000 is an abundant number, since it is smaller than the sum of its proper divisors (19501836451160).

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

14304142201000 is a wasteful number, since it uses less digits than its factorization.

14304142201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38412 (or 38398 counting only the distinct ones).

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

Adding to 14304142201000 its reverse (10224140341), we get a palindrome (14314366341341).

The spelling of 14304142201000 in words is "fourteen trillion, three hundred four billion, one hundred forty-two million, two hundred one thousand".