4384441440 has 384 divisors, whose sum is σ = 16381854720. Its totient is φ = 1091395584.

The previous prime is 4384441427. The next prime is 4384441499. The reversal of 4384441440 is 441444834.

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

It is a junction number, because it is equal to n+sod(n) for n = 4384441395 and 4384441404.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 16670749 + ... + 16671011.

It is an arithmetic number, because the mean of its divisors is an integer number (42661080).

Almost surely, 2^4384441440 is an apocalyptic number.

4384441440 is a gapful number since it is divisible by the number (40) 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 4384441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190927360).

4384441440 is an abundant number, since it is smaller than the sum of its proper divisors (11997413280).

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

4384441440 is a wasteful number, since it uses less digits than its factorization.

4384441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4384441440 is about 66215.1148907861. The cubic root of 4384441440 is about 1636.7088269750.

The spelling of 4384441440 in words is "four billion, three hundred eighty-four million, four hundred forty-one thousand, four hundred forty".