4442668416 has 96 divisors (see below), whose sum is σ = 12911155920. Its totient is φ = 1466188800.

The previous prime is 4442668381. The next prime is 4442668421. The reversal of 4442668416 is 6148662444.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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, 97261 + ... + 135443.

Almost surely, 2^4442668416 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 4442668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455577960).

4442668416 is an abundant number, since it is smaller than the sum of its proper divisors (8468487504).

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

4442668416 is a wasteful number, since it uses less digits than its factorization.

4442668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38304 (or 38289 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4442668416 is about 66653.3451223568. The cubic root of 4442668416 is about 1643.9223505691.

The spelling of 4442668416 in words is "four billion, four hundred forty-two million, six hundred sixty-eight thousand, four hundred sixteen".