8440440448 has 32 divisors (see below), whose sum is σ = 18343573920. Its totient is φ = 3836563200.

The previous prime is 8440440431. The next prime is 8440440457.

8440440448 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8440440448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2995908 + ... + 2998723.

It is an arithmetic number, because the mean of its divisors is an integer number (573236685).

Almost surely, 2^8440440448 is an apocalyptic number.

8440440448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8440440448 is an abundant number, since it is smaller than the sum of its proper divisors (9903133472).

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

8440440448 is a wasteful number, since it uses less digits than its factorization.

8440440448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994656 (or 5994644 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The square root of 8440440448 is about 91871.8697317084. The cubic root of 8440440448 is about 2036.0496769452.

The spelling of 8440440448 in words is "eight billion, four hundred forty million, four hundred forty thousand, four hundred forty-eight".