14434240000332 has 144 divisors (see below), whose sum is σ = 36868981494240. Its totient is φ = 4379879669760.

The previous prime is 14434240000331. The next prime is 14434240000333. The reversal of 14434240000332 is 23300004243441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14434240000331) and next prime (14434240000333).

It is a super-2 number, since 2×14434240000332² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14434240000332.

It is not an unprimeable number, because it can be changed into a prime (14434240000331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370307628 + ... + 370346604.

It is an arithmetic number, because the mean of its divisors is an integer number (256034593710).

Almost surely, 2^{14434240000332} is an apocalyptic number.

14434240000332 is a gapful number since it is divisible by the number (12) 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 14434240000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434490747120).

14434240000332 is an abundant number, since it is smaller than the sum of its proper divisors (22434741493908).

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

14434240000332 is a wasteful number, since it uses less digits than its factorization.

14434240000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40952 (or 40919 counting only the distinct ones).

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

Adding to 14434240000332 its reverse (23300004243441), we get a palindrome (37734244243773).

The spelling of 14434240000332 in words is "fourteen trillion, four hundred thirty-four billion, two hundred forty million, three hundred thirty-two", and thus it is an aban number.