8440800444 has 18 divisors (see below), whose sum is σ = 21336467880. Its totient is φ = 2813600136.

The previous prime is 8440800443. The next prime is 8440800449. The reversal of 8440800444 is 4440080448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×8440800444² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 234466679 = 8440800444 / (8 + 4 + 4 + 0 + 8 + 0 + 0 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 8440800399 and 8440800408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8440800443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117233304 + ... + 117233375.

Almost surely, 2^8440800444 is an apocalyptic number.

It is an amenable number.

8440800444 is an abundant number, since it is smaller than the sum of its proper divisors (12895667436).

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

8440800444 is a wasteful number, since it uses less digits than its factorization.

8440800444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234466689 (or 234466684 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 8440800444 is about 91873.8289394755. The cubic root of 8440800444 is about 2036.0786232750.

The spelling of 8440800444 in words is "eight billion, four hundred forty million, eight hundred thousand, four hundred forty-four".