34022441114241 has 16 divisors (see below), whose sum is σ = 46939027080960. Its totient is φ = 21894125348480.

The previous prime is 34022441114227. The next prime is 34022441114243. The reversal of 34022441114241 is 14241114422043.

It is a cyclic number.

It is not a de Polignac number, because 34022441114241 - 2⁹ = 34022441113729 is a prime.

It is a super-2 number, since 2×34022441114241² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34022441114243) 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 15 ways as a sum of consecutive naturals, for example, 47652345 + ... + 48361046.

It is an arithmetic number, because the mean of its divisors is an integer number (2933689192560).

Almost surely, 2^{34022441114241} is an apocalyptic number.

It is an amenable number.

34022441114241 is a deficient number, since it is larger than the sum of its proper divisors (12916585966719).

34022441114241 is a wasteful number, since it uses less digits than its factorization.

34022441114241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96017496.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 34022441114241 its reverse (14241114422043), we get a palindrome (48263555536284).

The spelling of 34022441114241 in words is "thirty-four trillion, twenty-two billion, four hundred forty-one million, one hundred fourteen thousand, two hundred forty-one".