4044720384 has 216 divisors, whose sum is σ = 12285192192. Its totient is φ = 1277337600.

The previous prime is 4044720353. The next prime is 4044720389. The reversal of 4044720384 is 4830274404.

It is a happy number.

4044720384 is a `hidden beast` number, since 4 + 0 + 447 + 203 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4044720389) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6729684 + ... + 6730284.

Almost surely, 2^4044720384 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 4044720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142596096).

4044720384 is an abundant number, since it is smaller than the sum of its proper divisors (8240471808).

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

4044720384 is a wasteful number, since it uses less digits than its factorization.

4044720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4044720384 is about 63598.1161985164. The cubic root of 4044720384 is about 1593.2949069978.

Adding to 4044720384 its reverse (4830274404), we get a palindrome (8874994788).

The spelling of 4044720384 in words is "four billion, forty-four million, seven hundred twenty thousand, three hundred eighty-four".