330442300004404 has 96 divisors (see below), whose sum is σ = 683152305776640. Its totient is φ = 136896994346112.

The previous prime is 330442300004363. The next prime is 330442300004407. The reversal of 330442300004404 is 404400003244033.

It is a super-2 number, since 2×330442300004404² (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 (330442300004407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346066267 + ... + 347019805.

It is an arithmetic number, because the mean of its divisors is an integer number (7116169851840).

Almost surely, 2^{330442300004404} 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 330442300004404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341576152888320).

330442300004404 is an abundant number, since it is smaller than the sum of its proper divisors (352710005772236).

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

330442300004404 is a wasteful number, since it uses less digits than its factorization.

330442300004404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955757 (or 955755 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 330442300004404 its reverse (404400003244033), we get a palindrome (734842303248437).

The spelling of 330442300004404 in words is "three hundred thirty trillion, four hundred forty-two billion, three hundred million, four thousand, four hundred four".