330404040410121 has 24 divisors (see below), whose sum is σ = 477332318703240. Its totient is φ = 220231498669056.

The previous prime is 330404040410113. The next prime is 330404040410203. The reversal of 330404040410121 is 121014040404033.

It can be written as a sum of positive squares in 4 ways, for example, as 4246941977721 + 326157098432400 = 2060811^2 + 18059820^2 .

It is not a de Polignac number, because 330404040410121 - 2³ = 330404040410113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330404040210121) 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, 2487297721 + ... + 2487430553.

It is an arithmetic number, because the mean of its divisors is an integer number (19888846612635).

Almost surely, 2^{330404040410121} is an apocalyptic number.

It is an amenable number.

330404040410121 is a deficient number, since it is larger than the sum of its proper divisors (146928278293119).

330404040410121 is a wasteful number, since it uses less digits than its factorization.

330404040410121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178265 (or 178262 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 330404040410121 its reverse (121014040404033), we get a palindrome (451418080814154).

The spelling of 330404040410121 in words is "three hundred thirty trillion, four hundred four billion, forty million, four hundred ten thousand, one hundred twenty-one".