4416666144 has 96 divisors (see below), whose sum is σ = 12682764864. Its totient is φ = 1334676480.

The previous prime is 4416666097. The next prime is 4416666169.

4416666144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4416666096 and 4416666105.

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, 388282 + ... + 399494.

It is an arithmetic number, because the mean of its divisors is an integer number (132112134).

Almost surely, 2^4416666144 is an apocalyptic number.

4416666144 is a gapful number since it is divisible by the number (44) 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 4416666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341382432).

4416666144 is an abundant number, since it is smaller than the sum of its proper divisors (8266098720).

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

4416666144 is a wasteful number, since it uses less digits than its factorization.

4416666144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11610 (or 11602 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 4416666144 is about 66458.0028589484. The cubic root of 4416666144 is about 1640.7088627071.

The spelling of 4416666144 in words is "four billion, four hundred sixteen million, six hundred sixty-six thousand, one hundred forty-four".