330241430130400 has 144 divisors (see below), whose sum is σ = 849285913941360. Its totient is φ = 125047922688000.

The previous prime is 330241430130361. The next prime is 330241430130401. The reversal of 330241430130400 is 4031034142033.

It is a super-2 number, since 2×330241430130400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330241430130401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11425312 + ... + 28125088.

It is an arithmetic number, because the mean of its divisors is an integer number (5897818846815).

Almost surely, 2^{330241430130400} 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 330241430130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424642956970680).

330241430130400 is an abundant number, since it is smaller than the sum of its proper divisors (519044483810960).

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

330241430130400 is a wasteful number, since it uses less digits than its factorization.

330241430130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16701117 (or 16701104 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 330241430130400 its reverse (4031034142033), we get a palindrome (334272464272433).

The spelling of 330241430130400 in words is "three hundred thirty trillion, two hundred forty-one billion, four hundred thirty million, one hundred thirty thousand, four hundred".