334220211312041 has 16 divisors (see below), whose sum is σ = 351130379792400. Its totient is φ = 317700187757568.

The previous prime is 334220211312019. The next prime is 334220211312047. The reversal of 334220211312041 is 140213112022433.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14039147203225 + 320181064108816 = 3746885^2 + 17893604^2 .

It is not a de Polignac number, because 334220211312041 - 2⁴² = 329822164800937 is a prime.

It is a super-2 number, since 2×334220211312041² (a number of 30 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 334220211311995 and 334220211312013.

It is not an unprimeable number, because it can be changed into a prime (334220211312047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277279586 + ... + 278482331.

It is an arithmetic number, because the mean of its divisors is an integer number (21945648737025).

Almost surely, 2^{334220211312041} is an apocalyptic number.

It is an amenable number.

334220211312041 is a deficient number, since it is larger than the sum of its proper divisors (16910168480359).

334220211312041 is a wasteful number, since it uses less digits than its factorization.

334220211312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555762268.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 334220211312041 its reverse (140213112022433), we get a palindrome (474433323334474).

The spelling of 334220211312041 in words is "three hundred thirty-four trillion, two hundred twenty billion, two hundred eleven million, three hundred twelve thousand, forty-one".