14204430001300 has 288 divisors, whose sum is σ = 40116452382720. Its totient is φ = 4233153830400.

The previous prime is 14204430001283. The next prime is 14204430001309. The reversal of 14204430001300 is 310003440241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204430001309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479394886 + ... + 479424514.

It is an arithmetic number, because the mean of its divisors is an integer number (139293237440).

Almost surely, 2^{14204430001300} is an apocalyptic number.

14204430001300 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 14204430001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058226191360).

14204430001300 is an abundant number, since it is smaller than the sum of its proper divisors (25912022381420).

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

14204430001300 is a wasteful number, since it uses less digits than its factorization.

14204430001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32391 (or 32384 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14204430001300 its reverse (310003440241), we get a palindrome (14514433441541).

The spelling of 14204430001300 in words is "fourteen trillion, two hundred four billion, four hundred thirty million, one thousand, three hundred".