34531204041 has 20 divisors (see below), whose sum is σ = 51609319300. Its totient is φ = 23009347296.

The previous prime is 34531204027. The next prime is 34531204129. The reversal of 34531204041 is 14040213543.

It is a happy number.

34531204041 is a `hidden beast` number, since 3 + 453 + 1 + 204 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33198662025 + 1332542016 = 182205^2 + 36504^2 .

It is not a de Polignac number, because 34531204041 - 2²⁵ = 34497649609 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34531203996 and 34531204014.

It is not an unprimeable number, because it can be changed into a prime (34531004041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59295 + ... + 269403.

It is an arithmetic number, because the mean of its divisors is an integer number (2580465965).

Almost surely, 2^34531204041 is an apocalyptic number.

It is an amenable number.

34531204041 is a deficient number, since it is larger than the sum of its proper divisors (17078115259).

34531204041 is a wasteful number, since it uses less digits than its factorization.

34531204041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212150 (or 212141 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34531204041 its reverse (14040213543), we get a palindrome (48571417584).

The spelling of 34531204041 in words is "thirty-four billion, five hundred thirty-one million, two hundred four thousand, forty-one".