4440393360 has 240 divisors, whose sum is σ = 16154309808. Its totient is φ = 1086566400.

The previous prime is 4440393359. The next prime is 4440393367. The reversal of 4440393360 is 633930444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 772395264 + 3667998096 = 27792^2 + 60564^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (4440393367) 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 47 ways as a sum of consecutive naturals, for example, 1692850 + ... + 1695470.

Almost surely, 2^4440393360 is an apocalyptic number.

4440393360 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 4440393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8077154904).

4440393360 is an abundant number, since it is smaller than the sum of its proper divisors (11713916448).

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

4440393360 is a wasteful number, since it uses less digits than its factorization.

4440393360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 4440393360 is about 66636.2766066652. The cubic root of 4440393360 is about 1643.6416893651.

The spelling of 4440393360 in words is "four billion, four hundred forty million, three hundred ninety-three thousand, three hundred sixty".