34133121441 has 40 divisors (see below), whose sum is σ = 54638980704. Its totient is φ = 21158755200.

The previous prime is 34133121413. The next prime is 34133121467. The reversal of 34133121441 is 14412133143.

34133121441 is a `hidden beast` number, since 3 + 413 + 31 + 214 + 4 + 1 = 666.

It is not a de Polignac number, because 34133121441 - 2⁵ = 34133121409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34133121041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35035 + ... + 263616.

Almost surely, 2^34133121441 is an apocalyptic number.

It is an amenable number.

34133121441 is a deficient number, since it is larger than the sum of its proper divisors (20505859263).

34133121441 is a wasteful number, since it uses less digits than its factorization.

34133121441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298763 (or 298754 counting only the distinct ones).

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

Adding to 34133121441 its reverse (14412133143), we get a palindrome (48545254584).

The spelling of 34133121441 in words is "thirty-four billion, one hundred thirty-three million, one hundred twenty-one thousand, four hundred forty-one".