34000506661041 has 16 divisors (see below), whose sum is σ = 50406419649600. Its totient is φ = 22651120039104.

The previous prime is 34000506661031. The next prime is 34000506661123. The reversal of 34000506661041 is 14016660500043.

It is a happy number.

It is not a de Polignac number, because 34000506661041 - 2¹⁵ = 34000506628273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34000506660987 and 34000506661005.

It is not an unprimeable number, because it can be changed into a prime (34000506661021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441194136 + ... + 441271193.

It is an arithmetic number, because the mean of its divisors is an integer number (3150401228100).

Almost surely, 2^{34000506661041} is an apocalyptic number.

It is an amenable number.

34000506661041 is a deficient number, since it is larger than the sum of its proper divisors (16405912988559).

34000506661041 is a wasteful number, since it uses less digits than its factorization.

34000506661041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882466765 (or 882466759 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34000506661041 in words is "thirty-four trillion, five hundred six million, six hundred sixty-one thousand, forty-one".