4416321336 has 128 divisors (see below), whose sum is σ = 13587264000. Its totient is φ = 1167409152.

The previous prime is 4416321331. The next prime is 4416321341. The reversal of 4416321336 is 6331236144.

It is an interprime number because it is at equal distance from previous prime (4416321331) and next prime (4416321341).

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 = 4416321297 and 4416321306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416321331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155400 + ... + 181608.

It is an arithmetic number, because the mean of its divisors is an integer number (106150500).

Almost surely, 2^4416321336 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 4416321336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793632000).

4416321336 is an abundant number, since it is smaller than the sum of its proper divisors (9170942664).

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

4416321336 is a wasteful number, since it uses less digits than its factorization.

4416321336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26301 (or 26297 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 4416321336 is about 66455.4086286436. The cubic root of 4416321336 is about 1640.6661650217. Note that the first 3 decimals are identical.

The spelling of 4416321336 in words is "four billion, four hundred sixteen million, three hundred twenty-one thousand, three hundred thirty-six".