4165135312041 has 24 divisors (see below), whose sum is σ = 6636987845280. Its totient is φ = 2495961230400.

The previous prime is 4165135311991. The next prime is 4165135312067. The reversal of 4165135312041 is 1402135315614.

4165135312041 is a `hidden beast` number, since 4 + 1 + 65 + 1 + 3 + 531 + 20 + 41 = 666.

It is not a de Polignac number, because 4165135312041 - 2⁷ = 4165135311913 is a prime.

It is a super-2 number, since 2×4165135312041² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4165135311987 and 4165135312005.

It is not an unprimeable number, because it can be changed into a prime (4165135312841) 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, 236351155 + ... + 236368776.

It is an arithmetic number, because the mean of its divisors is an integer number (276541160220).

Almost surely, 2^{4165135312041} is an apocalyptic number.

It is an amenable number.

4165135312041 is a deficient number, since it is larger than the sum of its proper divisors (2471852533239).

4165135312041 is a wasteful number, since it uses less digits than its factorization.

4165135312041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472720037 (or 472720034 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 4165135312041 in words is "four trillion, one hundred sixty-five billion, one hundred thirty-five million, three hundred twelve thousand, forty-one".