14424234341000 has 512 divisors, whose sum is σ = 39971165644800. Its totient is φ = 4812851200000.

The previous prime is 14424234340993. The next prime is 14424234341057. The reversal of 14424234341000 is 14343242441.

14424234341000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2364237950 + ... + 2364244050.

It is an arithmetic number, because the mean of its divisors is an integer number (78068682900).

Almost surely, 2^{14424234341000} is an apocalyptic number.

14424234341000 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 14424234341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19985582822400).

14424234341000 is an abundant number, since it is smaller than the sum of its proper divisors (25546931303800).

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

14424234341000 is a wasteful number, since it uses less digits than its factorization.

14424234341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14424234341000 its reverse (14343242441), we get a palindrome (14438577583441).

The spelling of 14424234341000 in words is "fourteen trillion, four hundred twenty-four billion, two hundred thirty-four million, three hundred forty-one thousand".