4444424114440 has 64 divisors (see below), whose sum is σ = 10121645991600. Its totient is φ = 1756232368128.

The previous prime is 4444424114413. The next prime is 4444424114509. The reversal of 4444424114440 is 444114244444.

It can be written as a sum of positive squares in 8 ways, for example, as 823022726436 + 3621401388004 = 907206^2 + 1902998^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4444424114393 and 4444424114402.

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 15 ways as a sum of consecutive naturals, for example, 43089 + ... + 2981728.

Almost surely, 2^{4444424114440} is an apocalyptic number.

4444424114440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444424114440 is an abundant number, since it is smaller than the sum of its proper divisors (5677221877160).

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

4444424114440 is a wasteful number, since it uses less digits than its factorization.

4444424114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025274 (or 3025270 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

Adding to 4444424114440 its reverse (444114244444), we get a palindrome (4888538358884).

The spelling of 4444424114440 in words is "four trillion, four hundred forty-four billion, four hundred twenty-four million, one hundred fourteen thousand, four hundred forty".