4416462336 has 160 divisors (see below), whose sum is σ = 13823365248. Its totient is φ = 1235312640.

The previous prime is 4416462329. The next prime is 4416462409. The reversal of 4416462336 is 6332646144.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 = 4416462294 and 4416462303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209595 + ... + 229701.

Almost surely, 2^4416462336 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 4416462336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6911682624).

4416462336 is an abundant number, since it is smaller than the sum of its proper divisors (9406902912).

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

4416462336 is a wasteful number, since it uses less digits than its factorization.

4416462336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20152 (or 20136 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 4416462336 is about 66456.4694819097. The cubic root of 4416462336 is about 1640.6836253656.

The spelling of 4416462336 in words is "four billion, four hundred sixteen million, four hundred sixty-two thousand, three hundred thirty-six".