4164101760 has 256 divisors, whose sum is σ = 16336776960. Its totient is φ = 878542848.

The previous prime is 4164101749. The next prime is 4164101761. The reversal of 4164101760 is 671014614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4164101761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162804 + ... + 186636.

It is an arithmetic number, because the mean of its divisors is an integer number (63815535).

Almost surely, 2^4164101760 is an apocalyptic number.

4164101760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168388480).

4164101760 is an abundant number, since it is smaller than the sum of its proper divisors (12172675200).

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

4164101760 is a wasteful number, since it uses less digits than its factorization.

4164101760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23875 (or 23863 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4164101760 is about 64529.8516967148. The cubic root of 4164101760 is about 1608.8187212134.

The spelling of 4164101760 in words is "four billion, one hundred sixty-four million, one hundred one thousand, seven hundred sixty".