4165109712 has 60 divisors (see below), whose sum is σ = 11691247620. Its totient is φ = 1384233984.

The previous prime is 4165109693. The next prime is 4165109723. The reversal of 4165109712 is 2179015614.

4165109712 is a `hidden beast` number, since 41 + 6 + 510 + 97 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 497111616 + 3667998096 = 22296^2 + 60564^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5614 + ... + 91442.

It is an arithmetic number, because the mean of its divisors is an integer number (194854127).

Almost surely, 2^4165109712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165109712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845623810).

4165109712 is an abundant number, since it is smaller than the sum of its proper divisors (7526137908).

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

4165109712 is a wasteful number, since it uses less digits than its factorization.

4165109712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86180 (or 86171 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 4165109712 is about 64537.6611909666. The cubic root of 4165109712 is about 1608.9485196123.

The spelling of 4165109712 in words is "four billion, one hundred sixty-five million, one hundred nine thousand, seven hundred twelve".