34122404440341 has 12 divisors (see below), whose sum is σ = 56329048600032. Its totient is φ = 19498516823016.

The previous prime is 34122404440307. The next prime is 34122404440367. The reversal of 34122404440341 is 14304440422143.

34122404440341 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 240 + 4 + 4 + 403 + 4 + 1 = 666.

It is not a de Polignac number, because 34122404440341 - 2²⁹ = 34121867569429 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34122404440296 and 34122404440305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122404440141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270812733591 + ... + 270812733716.

It is an arithmetic number, because the mean of its divisors is an integer number (4694087383336).

Almost surely, 2^{34122404440341} is an apocalyptic number.

It is an amenable number.

34122404440341 is a deficient number, since it is larger than the sum of its proper divisors (22206644159691).

34122404440341 is a wasteful number, since it uses less digits than its factorization.

34122404440341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541625467320 (or 541625467317 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34122404440341 its reverse (14304440422143), we get a palindrome (48426844862484).

The spelling of 34122404440341 in words is "thirty-four trillion, one hundred twenty-two billion, four hundred four million, four hundred forty thousand, three hundred forty-one".