4416862464 has 216 divisors, whose sum is σ = 14667744000. Its totient is φ = 1252122624.

The previous prime is 4416862397. The next prime is 4416862469. The reversal of 4416862464 is 4642686144.

4416862464 is a `hidden beast` number, since 4 + 4 + 16 + 8 + 624 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4416862469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2208537 + ... + 2210535.

Almost surely, 2^4416862464 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 4416862464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333872000).

4416862464 is an abundant number, since it is smaller than the sum of its proper divisors (10250881536).

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

4416862464 is a wasteful number, since it uses less digits than its factorization.

4416862464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2148 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4416862464 is about 66459.4798655542. The cubic root of 4416862464 is about 1640.7331720829.

The spelling of 4416862464 in words is "four billion, four hundred sixteen million, eight hundred sixty-two thousand, four hundred sixty-four".