14430304042320 has 640 divisors, whose sum is σ = 47217989998080. Its totient is φ = 3641944965120.

The previous prime is 14430304042249. The next prime is 14430304042321. The reversal of 14430304042320 is 2324040303441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430304042321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23387850652 + ... + 23387851268.

It is an arithmetic number, because the mean of its divisors is an integer number (73778109372).

Almost surely, 2^{14430304042320} is an apocalyptic number.

14430304042320 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 14430304042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23608994999040).

14430304042320 is an abundant number, since it is smaller than the sum of its proper divisors (32787685955760).

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

14430304042320 is a wasteful number, since it uses less digits than its factorization.

14430304042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 14430304042320 its reverse (2324040303441), we get a palindrome (16754344345761).

The spelling of 14430304042320 in words is "fourteen trillion, four hundred thirty billion, three hundred four million, forty-two thousand, three hundred twenty".