14330034030032 has 80 divisors (see below), whose sum is σ = 31874387706240. Its totient is φ = 6113656479744.

The previous prime is 14330034030031. The next prime is 14330034030047. The reversal of 14330034030032 is 23003043003341.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14330034029983 and 14330034030010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330034030031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248338208 + ... + 248395904.

It is an arithmetic number, because the mean of its divisors is an integer number (398429846328).

Almost surely, 2^{14330034030032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14330034030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937193853120).

14330034030032 is an abundant number, since it is smaller than the sum of its proper divisors (17544353676208).

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

14330034030032 is a wasteful number, since it uses less digits than its factorization.

14330034030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67708 (or 67702 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 14330034030032 its reverse (23003043003341), we get a palindrome (37333077033373).

The spelling of 14330034030032 in words is "fourteen trillion, three hundred thirty billion, thirty-four million, thirty thousand, thirty-two".