4444133136 has 80 divisors (see below), whose sum is σ = 12173476800. Its totient is φ = 1393127424.

The previous prime is 4444133107. The next prime is 4444133173. The reversal of 4444133136 is 6313314444.

It is a happy number.

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 = 4444133097 and 4444133106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107160 + ... + 142728.

It is an arithmetic number, because the mean of its divisors is an integer number (152168460).

Almost surely, 2^4444133136 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 4444133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086738400).

4444133136 is an abundant number, since it is smaller than the sum of its proper divisors (7729343664).

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

4444133136 is a wasteful number, since it uses less digits than its factorization.

4444133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35736 (or 35730 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 4444133136 is about 66664.3318124468. The cubic root of 4444133136 is about 1644.1029943584.

It can be divided in two parts, 44441 and 33136, that added together give a palindrome (77577).

The spelling of 4444133136 in words is "four billion, four hundred forty-four million, one hundred thirty-three thousand, one hundred thirty-six".