4417822164 has 192 divisors, whose sum is σ = 13402368000. Its totient is φ = 1125121536.

The previous prime is 4417822151. The next prime is 4417822229. The reversal of 4417822164 is 4612287144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1327807 + ... + 1331129.

It is an arithmetic number, because the mean of its divisors is an integer number (69804000).

Almost surely, 2^4417822164 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 4417822164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701184000).

4417822164 is an abundant number, since it is smaller than the sum of its proper divisors (8984545836).

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

4417822164 is a wasteful number, since it uses less digits than its factorization.

4417822164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3371 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 4417822164 is about 66466.6996623121. The cubic root of 4417822164 is about 1640.8519968224.

The spelling of 4417822164 in words is "four billion, four hundred seventeen million, eight hundred twenty-two thousand, one hundred sixty-four".