4191071967 has 24 divisors (see below), whose sum is σ = 6266557440. Its totient is φ = 2695963200.

The previous prime is 4191071933. The next prime is 4191071981. The reversal of 4191071967 is 7691701914.

It is not a de Polignac number, because 4191071967 - 2⁸ = 4191071711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4191071767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491938 + ... + 500384.

It is an arithmetic number, because the mean of its divisors is an integer number (261106560).

Almost surely, 2^4191071967 is an apocalyptic number.

4191071967 is a deficient number, since it is larger than the sum of its proper divisors (2075485473).

4191071967 is a wasteful number, since it uses less digits than its factorization.

4191071967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The square root of 4191071967 is about 64738.4890694863. The cubic root of 4191071967 is about 1612.2846013346.

The spelling of 4191071967 in words is "four billion, one hundred ninety-one million, seventy-one thousand, nine hundred sixty-seven".