4444844040 has 768 divisors, whose sum is σ = 19320537600. Its totient is φ = 859963392.

The previous prime is 4444844011. The next prime is 4444844087. The reversal of 4444844040 is 404484444.

It is a happy number.

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 = 4444843986 and 4444844004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23030184 + ... + 23030376.

It is an arithmetic number, because the mean of its divisors is an integer number (25156950).

Almost surely, 2^4444844040 is an apocalyptic number.

4444844040 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 4444844040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660268800).

4444844040 is an abundant number, since it is smaller than the sum of its proper divisors (14875693560).

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

4444844040 is a wasteful number, since it uses less digits than its factorization.

4444844040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The square root of 4444844040 is about 66669.6635659728. The cubic root of 4444844040 is about 1644.1906557795.

It can be divided in two parts, 44448 and 44040, that added together give a palindrome (88488).

The spelling of 4444844040 in words is "four billion, four hundred forty-four million, eight hundred forty-four thousand, forty".