14342334240 has 384 divisors, whose sum is σ = 52508155392. Its totient is φ = 3258777600.

The previous prime is 14342334229. The next prime is 14342334241. The reversal of 14342334240 is 4243324341.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 14342334198 and 14342334207.

It is not an unprimeable number, because it can be changed into a prime (14342334241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5620965 + ... + 5623515.

It is an arithmetic number, because the mean of its divisors is an integer number (136739988).

Almost surely, 2^14342334240 is an apocalyptic number.

14342334240 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 14342334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26254077696).

14342334240 is an abundant number, since it is smaller than the sum of its proper divisors (38165821152).

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

14342334240 is a wasteful number, since it uses less digits than its factorization.

14342334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2644 counting only the distinct ones).

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

Adding to 14342334240 its reverse (4243324341), we get a palindrome (18585658581).

The spelling of 14342334240 in words is "fourteen billion, three hundred forty-two million, three hundred thirty-four thousand, two hundred forty".