330442104300400 has 120 divisors (see below), whose sum is σ = 840677365660320. Its totient is φ = 124388271022080.

The previous prime is 330442104300379. The next prime is 330442104300409. The reversal of 330442104300400 is 4003401244033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330442104300409) 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, 60322861 + ... + 65572339.

It is an arithmetic number, because the mean of its divisors is an integer number (7005644713836).

Almost surely, 2^{330442104300400} 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 330442104300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420338682830160).

330442104300400 is an abundant number, since it is smaller than the sum of its proper divisors (510235261359920).

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

330442104300400 is a wasteful number, since it uses less digits than its factorization.

330442104300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258771 (or 5258760 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 330442104300400 its reverse (4003401244033), we get a palindrome (334445505544433).

The spelling of 330442104300400 in words is "three hundred thirty trillion, four hundred forty-two billion, one hundred four million, three hundred thousand, four hundred".