34128040970241 has 9 divisors (see below), whose sum is σ = 49296084494241. Its totient is φ = 22752015629652.

The previous prime is 34128040970183. The next prime is 34128040970251. The reversal of 34128040970241 is 14207904082143.

The square root of 34128040970241 is 5841921.

It is a perfect power (a square), and thus also a powerful number.

34128040970241 is a `hidden beast` number, since 3 + 4 + 1 + 280 + 40 + 97 + 0 + 241 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 34128040970241 - 2⁴¹ = 31929017714689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34128040970251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16552110 + ... + 18499416.

Almost surely, 2^{34128040970241} is an apocalyptic number.

34128040970241 is the 5841921-st square number.

34128040970241 is the 2920961-st centered octagonal number.

It is an amenable number.

34128040970241 is a deficient number, since it is larger than the sum of its proper divisors (15168043524000).

34128040970241 is an frugal number, since it uses more digits than its factorization.

34128040970241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894620 (or 1947310 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 34128040970241 in words is "thirty-four trillion, one hundred twenty-eight billion, forty million, nine hundred seventy thousand, two hundred forty-one".