3330041414121 has 24 divisors (see below), whose sum is σ = 4818606603720. Its totient is φ = 2216085854976.

The previous prime is 3330041414113. The next prime is 3330041414123. The reversal of 3330041414121 is 1214141400333.

It can be written as a sum of positive squares in 4 ways, for example, as 1641821944896 + 1688219469225 = 1281336^2 + 1299315^2 .

It is not a de Polignac number, because 3330041414121 - 2³ = 3330041414113 is a prime.

It is a super-2 number, since 2×3330041414121² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330041414123) 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 23 ways as a sum of consecutive naturals, for example, 13745325 + ... + 13985493.

It is an arithmetic number, because the mean of its divisors is an integer number (200775275155).

Almost surely, 2^{3330041414121} is an apocalyptic number.

It is an amenable number.

3330041414121 is a deficient number, since it is larger than the sum of its proper divisors (1488565189599).

3330041414121 is a wasteful number, since it uses less digits than its factorization.

3330041414121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242905 (or 242902 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3330041414121 its reverse (1214141400333), we get a palindrome (4544182814454).

The spelling of 3330041414121 in words is "three trillion, three hundred thirty billion, forty-one million, four hundred fourteen thousand, one hundred twenty-one".