4441216 has 64 divisors (see below), whose sum is σ = 10153080. Its totient is φ = 1916928.

The previous prime is 4441211. The next prime is 4441219. The reversal of 4441216 is 6121444.

4441216 = T₁₅₅ + T₁₅₆ + ... + T₃₁₁.

It can be written as a sum of positive squares in 4 ways, for example, as 3240000 + 1201216 = 1800^2 + 1096^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28210 + ... + 28366.

Almost surely, 2^4441216 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 4441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076540).

4441216 is an abundant number, since it is smaller than the sum of its proper divisors (5711864).

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

4441216 is a wasteful number, since it uses less digits than its factorization.

4441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 4441216 is about 2107.4192748478. The cubic root of 4441216 is about 164.3743185021.

The spelling of 4441216 in words is "four million, four hundred forty-one thousand, two hundred sixteen".