34342132041 has 48 divisors (see below), whose sum is σ = 59225886720. Its totient is φ = 18762144480.

The previous prime is 34342131997. The next prime is 34342132043. The reversal of 34342132041 is 14023124343.

34342132041 is a `hidden beast` number, since 3 + 434 + 21 + 3 + 204 + 1 = 666.

It is not a de Polignac number, because 34342132041 - 2¹⁰ = 34342131017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34342131996 and 34342132014.

It is not an unprimeable number, because it can be changed into a prime (34342132043) 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 47 ways as a sum of consecutive naturals, for example, 56170 + ... + 268028.

It is an arithmetic number, because the mean of its divisors is an integer number (1233872640).

Almost surely, 2^34342132041 is an apocalyptic number.

34342132041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34342132041 is a deficient number, since it is larger than the sum of its proper divisors (24883754679).

34342132041 is a wasteful number, since it uses less digits than its factorization.

34342132041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211986 (or 211983 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34342132041 its reverse (14023124343), we get a palindrome (48365256384).

The spelling of 34342132041 in words is "thirty-four billion, three hundred forty-two million, one hundred thirty-two thousand, forty-one".