4416582636 has 144 divisors (see below), whose sum is σ = 11956351680. Its totient is φ = 1371617280.

The previous prime is 4416582631. The next prime is 4416582683. The reversal of 4416582636 is 6362856144.

4416582636 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 5 + 8 + 2 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4416582591 and 4416582600.

It is not an unprimeable number, because it can be changed into a prime (4416582631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5379106 + ... + 5379926.

It is an arithmetic number, because the mean of its divisors is an integer number (83030220).

Almost surely, 2^4416582636 is an apocalyptic number.

4416582636 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416582636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978175840).

4416582636 is an abundant number, since it is smaller than the sum of its proper divisors (7539769044).

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

4416582636 is a wasteful number, since it uses less digits than its factorization.

4416582636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1011 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4416582636 is about 66457.3745795002. The cubic root of 4416582636 is about 1640.6985220886.

The spelling of 4416582636 in words is "four billion, four hundred sixteen million, five hundred eighty-two thousand, six hundred thirty-six".