4440381504 has 224 divisors, whose sum is σ = 13484693376. Its totient is φ = 1277460480.

The previous prime is 4440381497. The next prime is 4440381509. The reversal of 4440381504 is 4051830444.

It is not an unprimeable number, because it can be changed into a prime (4440381509) 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 31 ways as a sum of consecutive naturals, for example, 9631834 + ... + 9632294.

It is an arithmetic number, because the mean of its divisors is an integer number (60199524).

Almost surely, 2^4440381504 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 4440381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742346688).

4440381504 is an abundant number, since it is smaller than the sum of its proper divisors (9044311872).

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

4440381504 is a wasteful number, since it uses less digits than its factorization.

4440381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4440381504 is about 66636.1876460531. The cubic root of 4440381504 is about 1643.6402265042.

The spelling of 4440381504 in words is "four billion, four hundred forty million, three hundred eighty-one thousand, five hundred four".