4416106160 has 80 divisors (see below), whose sum is σ = 10821807360. Its totient is φ = 1671310080.

The previous prime is 4416106157. The next prime is 4416106171. The reversal of 4416106160 is 616016144.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1656989 + ... + 1659651.

It is an arithmetic number, because the mean of its divisors is an integer number (135272592).

Almost surely, 2^4416106160 is an apocalyptic number.

4416106160 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 4416106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410903680).

4416106160 is an abundant number, since it is smaller than the sum of its proper divisors (6405701200).

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

4416106160 is a wasteful number, since it uses less digits than its factorization.

4416106160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4416106160 is about 66453.7896586794. The cubic root of 4416106160 is about 1640.6395185823.

The spelling of 4416106160 in words is "four billion, four hundred sixteen million, one hundred six thousand, one hundred sixty".