330413005200 has 120 divisors (see below), whose sum is σ = 1058938170048. Its totient is φ = 88067248640.

The previous prime is 330413005199. The next prime is 330413005201. The reversal of 330413005200 is 2500314033.

It is an interprime number because it is at equal distance from previous prime (330413005199) and next prime (330413005201).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (330413005201) 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, 2438434 + ... + 2570366.

Almost surely, 2^330413005200 is an apocalyptic number.

330413005200 is a gapful number since it is divisible by the number (30) 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 330413005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529469085024).

330413005200 is an abundant number, since it is smaller than the sum of its proper divisors (728525164848).

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

330413005200 is a wasteful number, since it uses less digits than its factorization.

330413005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134041 (or 134030 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 330413005200 its reverse (2500314033), we get a palindrome (332913319233).

The spelling of 330413005200 in words is "three hundred thirty billion, four hundred thirteen million, five thousand, two hundred".