4413417216 has 144 divisors (see below), whose sum is σ = 12730228224. Its totient is φ = 1349332992.

The previous prime is 4413417199. The next prime is 4413417221. The reversal of 4413417216 is 6127143144.

It is a congruent number.

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, 1666005 + ... + 1668651.

Almost surely, 2^4413417216 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 4413417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365114112).

4413417216 is an abundant number, since it is smaller than the sum of its proper divisors (8316811008).

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

4413417216 is a wasteful number, since it uses less digits than its factorization.

4413417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2832 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 4413417216 is about 66433.5548950980. The cubic root of 4413417216 is about 1640.3064586927.

The spelling of 4413417216 in words is "four billion, four hundred thirteen million, four hundred seventeen thousand, two hundred sixteen".