34441540405101 has 6 divisors (see below), whose sum is σ = 49748891696270. Its totient is φ = 22961026936728.

The previous prime is 34441540405099. The next prime is 34441540405183. The reversal of 34441540405101 is 10150404514443.

34441540405101 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 1 + 540 + 4 + 0 + 5 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28245249519876 + 6196290885225 = 5314626^2 + 2489235^2 .

It is not a de Polignac number, because 34441540405101 - 2¹ = 34441540405099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441540405001) 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 5 ways as a sum of consecutive naturals, for example, 1913418911386 + ... + 1913418911403.

Almost surely, 2^{34441540405101} is an apocalyptic number.

It is an amenable number.

34441540405101 is a deficient number, since it is larger than the sum of its proper divisors (15307351291169).

34441540405101 is a wasteful number, since it uses less digits than its factorization.

34441540405101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826837822795 (or 3826837822792 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 34441540405101 its reverse (10150404514443), we get a palindrome (44591944919544).

The spelling of 34441540405101 in words is "thirty-four trillion, four hundred forty-one billion, five hundred forty million, four hundred five thousand, one hundred one".