4167161871 has 16 divisors (see below), whose sum is σ = 5853181440. Its totient is φ = 2629851840.

The previous prime is 4167161849. The next prime is 4167161879. The reversal of 4167161871 is 1781617614.

4167161871 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4167161871 - 2¹⁰ = 4167160847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167161879) 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, 47626 + ... + 102968.

It is an arithmetic number, because the mean of its divisors is an integer number (365823840).

Almost surely, 2^4167161871 is an apocalyptic number.

4167161871 is a deficient number, since it is larger than the sum of its proper divisors (1686019569).

4167161871 is a wasteful number, since it uses less digits than its factorization.

4167161871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56686.

The product of its digits is 56448, while the sum is 42.

The square root of 4167161871 is about 64553.5581590976. The cubic root of 4167161871 is about 1609.2127204210.

The spelling of 4167161871 in words is "four billion, one hundred sixty-seven million, one hundred sixty-one thousand, eight hundred seventy-one".