34134310041 has 32 divisors (see below), whose sum is σ = 49235921280. Its totient is φ = 20910580224.

The previous prime is 34134310037. The next prime is 34134310073. The reversal of 34134310041 is 14001343143.

It is not a de Polignac number, because 34134310041 - 2² = 34134310037 is a prime.

It is a super-2 number, since 2×34134310041² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34134309993 and 34134310020.

It is not an unprimeable number, because it can be changed into a prime (34134310031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8903461 + ... + 8907293.

It is an arithmetic number, because the mean of its divisors is an integer number (1538622540).

Almost surely, 2^34134310041 is an apocalyptic number.

It is an amenable number.

34134310041 is a deficient number, since it is larger than the sum of its proper divisors (15101611239).

34134310041 is a wasteful number, since it uses less digits than its factorization.

34134310041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34134310041 its reverse (14001343143), we get a palindrome (48135653184).

The spelling of 34134310041 in words is "thirty-four billion, one hundred thirty-four million, three hundred ten thousand, forty-one".