34121442303441 has 24 divisors (see below), whose sum is σ = 49314674770920. Its totient is φ = 22734639283200.

The previous prime is 34121442303439. The next prime is 34121442303451. The reversal of 34121442303441 is 14430324412143.

34121442303441 is a `hidden beast` number, since 3 + 41 + 2 + 1 + 44 + 230 + 344 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11372548927041 + 22748893376400 = 3372321^2 + 4769580^2 .

It is not a de Polignac number, because 34121442303441 - 2¹ = 34121442303439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34121442303396 and 34121442303405.

It is not an unprimeable number, because it can be changed into a prime (34121442303401) 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, 222967171 + ... + 223120151.

It is an arithmetic number, because the mean of its divisors is an integer number (2054778115455).

Almost surely, 2^{34121442303441} is an apocalyptic number.

It is an amenable number.

34121442303441 is a deficient number, since it is larger than the sum of its proper divisors (15193232467479).

34121442303441 is a wasteful number, since it uses less digits than its factorization.

34121442303441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166977 (or 166974 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34121442303441 its reverse (14430324412143), we get a palindrome (48551766715584).

The spelling of 34121442303441 in words is "thirty-four trillion, one hundred twenty-one billion, four hundred forty-two million, three hundred three thousand, four hundred forty-one".