8044084440 has 192 divisors, whose sum is σ = 30238790400. Its totient is φ = 1816448256.

The previous prime is 8044084417. The next prime is 8044084459. The reversal of 8044084440 is 444804408.

It is a happy number.

It is a super-2 number, since 2×8044084440² (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).

It is a junction number, because it is equal to n+sod(n) for n = 8044084395 and 8044084404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189931 + ... + 228389.

It is an arithmetic number, because the mean of its divisors is an integer number (157493700).

Almost surely, 2^8044084440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8044084440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119395200).

8044084440 is an abundant number, since it is smaller than the sum of its proper divisors (22194705960).

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

8044084440 is a wasteful number, since it uses less digits than its factorization.

8044084440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38566 (or 38559 counting only the distinct ones).

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

The square root of 8044084440 is about 89688.8200390662. The cubic root of 8044084440 is about 2003.6669758683. Note that the first 3 decimals are identical.

Adding to 8044084440 its reverse (444804408), we get a palindrome (8488888848).

The spelling of 8044084440 in words is "eight billion, forty-four million, eighty-four thousand, four hundred forty".