14431330242120 has 256 divisors, whose sum is σ = 47430118010880. Its totient is φ = 3483694080000.

The previous prime is 14431330242101. The next prime is 14431330242137. The reversal of 14431330242120 is 2124203313441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343967064 + ... + 344009016.

It is an arithmetic number, because the mean of its divisors is an integer number (185273898480).

Almost surely, 2^{14431330242120} is an apocalyptic number.

14431330242120 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 14431330242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23715059005440).

14431330242120 is an abundant number, since it is smaller than the sum of its proper divisors (32998787768760).

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

14431330242120 is a wasteful number, since it uses less digits than its factorization.

14431330242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43076 (or 43072 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14431330242120 its reverse (2124203313441), we get a palindrome (16555533555561).

The spelling of 14431330242120 in words is "fourteen trillion, four hundred thirty-one billion, three hundred thirty million, two hundred forty-two thousand, one hundred twenty".