4416520096 has 48 divisors (see below), whose sum is σ = 8942538024. Its totient is φ = 2145567744.

The previous prime is 4416520081. The next prime is 4416520181. The reversal of 4416520096 is 6900256144.

It can be written as a sum of positive squares in 4 ways, for example, as 3749847696 + 666672400 = 61236^2 + 25820^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007766 + ... + 1012138.

Almost surely, 2^4416520096 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 4416520096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471269012).

4416520096 is an abundant number, since it is smaller than the sum of its proper divisors (4526017928).

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

4416520096 is a wasteful number, since it uses less digits than its factorization.

4416520096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 4416520096 is about 66456.9040506703. The cubic root of 4416520096 is about 1640.6907778077.

It can be divided in two parts, 44165 and 20096, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 4416520096 in words is "four billion, four hundred sixteen million, five hundred twenty thousand, ninety-six".