8444003841 has 96 divisors (see below), whose sum is σ = 15887289600. Its totient is φ = 4453408512.

The previous prime is 8444003773. The next prime is 8444003849. The reversal of 8444003841 is 1483004448.

It is not a de Polignac number, because 8444003841 - 2¹⁰ = 8444002817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8444003796 and 8444003805.

It is not an unprimeable number, because it can be changed into a prime (8444003849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079641 + ... + 1087433.

It is an arithmetic number, because the mean of its divisors is an integer number (165492600).

Almost surely, 2^8444003841 is an apocalyptic number.

8444003841 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8444003841 is a deficient number, since it is larger than the sum of its proper divisors (7443285759).

8444003841 is an equidigital number, since it uses as much as digits as its factorization.

8444003841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8444003841 is about 91891.2609609858. The cubic root of 8444003841 is about 2036.3361637481.

It can be divided in two parts, 844400 and 3841, that added together give a square (848241 = 921²).

The spelling of 8444003841 in words is "eight billion, four hundred forty-four million, three thousand, eight hundred forty-one".