330034104120441 has 32 divisors (see below), whose sum is σ = 540181644544000. Its totient is φ = 178665078911760.

The previous prime is 330034104120437. The next prime is 330034104120443. The reversal of 330034104120441 is 144021401430033.

It is not a de Polignac number, because 330034104120441 - 2² = 330034104120437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330034104120399 and 330034104120408.

It is not an unprimeable number, because it can be changed into a prime (330034104120443) 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, 8440318645 + ... + 8440357746.

It is an arithmetic number, because the mean of its divisors is an integer number (16880676392000).

Almost surely, 2^{330034104120441} is an apocalyptic number.

It is an amenable number.

330034104120441 is a deficient number, since it is larger than the sum of its proper divisors (210147540423559).

330034104120441 is a wasteful number, since it uses less digits than its factorization.

330034104120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16880676434 (or 16880676420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 330034104120441 its reverse (144021401430033), we get a palindrome (474055505550474).

The spelling of 330034104120441 in words is "three hundred thirty trillion, thirty-four billion, one hundred four million, one hundred twenty thousand, four hundred forty-one".