34005420441 has 12 divisors (see below), whose sum is σ = 49213225620. Its totient is φ = 22626764160.

The previous prime is 34005420413. The next prime is 34005420451. The reversal of 34005420441 is 14402450043.

It is a happy number.

34005420441 is a `hidden beast` number, since 3 + 400 + 54 + 204 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9879564816 + 24125855625 = 99396^2 + 155325^2 .

It is not a de Polignac number, because 34005420441 - 2⁵ = 34005420409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34005420451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3621396 + ... + 3630773.

It is an arithmetic number, because the mean of its divisors is an integer number (4101102135).

Almost surely, 2^34005420441 is an apocalyptic number.

It is an amenable number.

34005420441 is a deficient number, since it is larger than the sum of its proper divisors (15207805179).

34005420441 is a wasteful number, since it uses less digits than its factorization.

34005420441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252696 (or 7252693 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34005420441 its reverse (14402450043), we get a palindrome (48407870484).

The spelling of 34005420441 in words is "thirty-four billion, five million, four hundred twenty thousand, four hundred forty-one".