34441204133 has 24 divisors (see below), whose sum is σ = 40427956800. Its totient is φ = 29253849408.

The previous prime is 34441204117. The next prime is 34441204151. The reversal of 34441204133 is 33140214443.

It is a happy number.

It is not a de Polignac number, because 34441204133 - 2⁴ = 34441204117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34441204096 and 34441204105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441204163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3871016 + ... + 3879902.

It is an arithmetic number, because the mean of its divisors is an integer number (1684498200).

Almost surely, 2^34441204133 is an apocalyptic number.

It is an amenable number.

34441204133 is a deficient number, since it is larger than the sum of its proper divisors (5986752667).

34441204133 is a wasteful number, since it uses less digits than its factorization.

34441204133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9609 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34441204133 its reverse (33140214443), we get a palindrome (67581418576).

The spelling of 34441204133 in words is "thirty-four billion, four hundred forty-one million, two hundred four thousand, one hundred thirty-three".