330320230400 has 288 divisors, whose sum is σ = 833918969520. Its totient is φ = 129745551360.

The previous prime is 330320230363. The next prime is 330320230439. The reversal of 330320230400 is 4032023033.

It is a super-2 number, since 2×330320230400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127372654 + ... + 1127372946.

Almost surely, 2^330320230400 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 330320230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416959484760).

330320230400 is an abundant number, since it is smaller than the sum of its proper divisors (503598739120).

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

330320230400 is a wasteful number, since it uses less digits than its factorization.

330320230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 330320230400 its reverse (4032023033), we get a palindrome (334352253433).

The spelling of 330320230400 in words is "three hundred thirty billion, three hundred twenty million, two hundred thirty thousand, four hundred".