330034310120441 has 16 divisors (see below), whose sum is σ = 341624450428800. Its totient is φ = 318458169993600.

The previous prime is 330034310120413. The next prime is 330034310120477. The reversal of 330034310120441 is 144021013430033.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 330034310120441 - 2⁶ = 330034310120377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330034310120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811627346 + ... + 812033876.

It is an arithmetic number, because the mean of its divisors is an integer number (21351528151800).

Almost surely, 2^{330034310120441} is an apocalyptic number.

It is an amenable number.

330034310120441 is a deficient number, since it is larger than the sum of its proper divisors (11590140308359).

330034310120441 is a wasteful number, since it uses less digits than its factorization.

330034310120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423680.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 330034310120441 its reverse (144021013430033), we get a palindrome (474055323550474).

The spelling of 330034310120441 in words is "three hundred thirty trillion, thirty-four billion, three hundred ten million, one hundred twenty thousand, four hundred forty-one".