34133211441 has 24 divisors (see below), whose sum is σ = 56430189504. Its totient is φ = 19475857440.

The previous prime is 34133211407. The next prime is 34133211467. The reversal of 34133211441 is 14411233143.

34133211441 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 3 + 211 + 441 = 666.

It is not a de Polignac number, because 34133211441 - 2¹¹ = 34133209393 is a prime.

It is a super-2 number, since 2×34133211441² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34133211401) 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, 357495 + ... + 442796.

It is an arithmetic number, because the mean of its divisors is an integer number (2351257896).

Almost surely, 2^34133211441 is an apocalyptic number.

It is an amenable number.

34133211441 is a deficient number, since it is larger than the sum of its proper divisors (22296978063).

34133211441 is a wasteful number, since it uses less digits than its factorization.

34133211441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800981 (or 800978 counting only the distinct ones).

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

Adding to 34133211441 its reverse (14411233143), we get a palindrome (48544444584).

The spelling of 34133211441 in words is "thirty-four billion, one hundred thirty-three million, two hundred eleven thousand, four hundred forty-one".