34460045041 has 8 divisors (see below), whose sum is σ = 36557148744. Its totient is φ = 32370723840.

The previous prime is 34460045033. The next prime is 34460045057. The reversal of 34460045041 is 14054006443.

34460045041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16200198400 + 18259846641 = 127280^2 + 135129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34460045041 - 2³ = 34460045033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34460044994 and 34460045012.

It is not an unprimeable number, because it can be changed into a prime (34460045141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1936500 + ... + 1954213.

It is an arithmetic number, because the mean of its divisors is an integer number (4569643593).

Almost surely, 2^34460045041 is an apocalyptic number.

It is an amenable number.

34460045041 is a deficient number, since it is larger than the sum of its proper divisors (2097103703).

34460045041 is a wasteful number, since it uses less digits than its factorization.

34460045041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891251.

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 34460045041 in words is "thirty-four billion, four hundred sixty million, forty-five thousand, forty-one".