330041024001 has 24 divisors (see below), whose sum is σ = 514717006440. Its totient is φ = 202580027136.

The previous prime is 330041023987. The next prime is 330041024039. The reversal of 330041024001 is 100420140033.

It can be written as a sum of positive squares in 4 ways, for example, as 36510037776 + 293530986225 = 191076^2 + 541785^2 .

It is not a de Polignac number, because 330041024001 - 2¹⁰ = 330041022977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330041028001) 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, 3580276 + ... + 3671301.

It is an arithmetic number, because the mean of its divisors is an integer number (21446541935).

Almost surely, 2^330041024001 is an apocalyptic number.

It is an amenable number.

330041024001 is a deficient number, since it is larger than the sum of its proper divisors (184675982439).

330041024001 is a wasteful number, since it uses less digits than its factorization.

330041024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251985 (or 7251982 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 330041024001 its reverse (100420140033), we get a palindrome (430461164034).

The spelling of 330041024001 in words is "three hundred thirty billion, forty-one million, twenty-four thousand, one".