4414045216 has 96 divisors (see below), whose sum is σ = 10185533568. Its totient is φ = 1843845120.

The previous prime is 4414045193. The next prime is 4414045241. The reversal of 4414045216 is 6125404144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1933996 + ... + 1936276.

It is an arithmetic number, because the mean of its divisors is an integer number (106099308).

Almost surely, 2^4414045216 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 4414045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092766784).

4414045216 is an abundant number, since it is smaller than the sum of its proper divisors (5771488352).

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

4414045216 is a wasteful number, since it uses less digits than its factorization.

4414045216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 4414045216 is about 66438.2812541083. The cubic root of 4414045216 is about 1640.3842565797.

The spelling of 4414045216 in words is "four billion, four hundred fourteen million, forty-five thousand, two hundred sixteen".