4433824128 has 96 divisors (see below), whose sum is σ = 12511195560. Its totient is φ = 1390968832.

The previous prime is 4433824079. The next prime is 4433824133. The reversal of 4433824128 is 8214283344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91000 + ... + 130952.

Almost surely, 2^4433824128 is an apocalyptic number.

4433824128 is a gapful number since it is divisible by the number (48) 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 4433824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255597780).

4433824128 is an abundant number, since it is smaller than the sum of its proper divisors (8077371432).

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

4433824128 is a wasteful number, since it uses less digits than its factorization.

4433824128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40004 (or 39975 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 4433824128 is about 66586.9666526416. The cubic root of 4433824128 is about 1642.8307407420.

The spelling of 4433824128 in words is "four billion, four hundred thirty-three million, eight hundred twenty-four thousand, one hundred twenty-eight".