333414041221 has 16 divisors (see below), whose sum is σ = 341451385200. Its totient is φ = 325501964800.

The previous prime is 333414041167. The next prime is 333414041291. The reversal of 333414041221 is 122140414333.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24707124225 + 308706916996 = 157185^2 + 555614^2 .

It is a cyclic number.

It is not a de Polignac number, because 333414041221 - 2⁹ = 333414040709 is a prime.

It is a super-2 number, since 2×333414041221² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 333414041221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333414041291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980855 + ... + 2142571.

It is an arithmetic number, because the mean of its divisors is an integer number (21340711575).

Almost surely, 2^333414041221 is an apocalyptic number.

It is an amenable number.

333414041221 is a deficient number, since it is larger than the sum of its proper divisors (8037343979).

333414041221 is a wasteful number, since it uses less digits than its factorization.

333414041221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162104.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 333414041221 its reverse (122140414333), we get a palindrome (455554455554).

The spelling of 333414041221 in words is "three hundred thirty-three billion, four hundred fourteen million, forty-one thousand, two hundred twenty-one".