4164871014 has 64 divisors (see below), whose sum is σ = 9427015680. Its totient is φ = 1362627360.

The previous prime is 4164871013. The next prime is 4164871031. The reversal of 4164871014 is 4101784614.

4164871014 is a `hidden beast` number, since 4 + 1 + 648 + 7 + 1 + 0 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4164871014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164871013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1998417 + ... + 2000499.

It is an arithmetic number, because the mean of its divisors is an integer number (147297120).

Almost surely, 2^4164871014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164871014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713507840).

4164871014 is an abundant number, since it is smaller than the sum of its proper divisors (5262144666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4164871014 is a wasteful number, since it uses less digits than its factorization.

4164871014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4164871014 is about 64535.8118721691. The cubic root of 4164871014 is about 1608.9177833167.

The spelling of 4164871014 in words is "four billion, one hundred sixty-four million, eight hundred seventy-one thousand, fourteen".