8404088440 has 128 divisors (see below), whose sum is σ = 20956708800. Its totient is φ = 3007713280.

The previous prime is 8404088423. The next prime is 8404088489. The reversal of 8404088440 is 448804048.

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 = 8404088393 and 8404088402.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12413382 + ... + 12414058.

Almost surely, 2^8404088440 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 8404088440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478354400).

8404088440 is an abundant number, since it is smaller than the sum of its proper divisors (12552620360).

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

8404088440 is a wasteful number, since it uses less digits than its factorization.

8404088440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 8404088440 is about 91673.8154545779. The cubic root of 8404088440 is about 2033.1224597821.

It can be divided in two parts, 840408 and 8440, that added together give a palindrome (848848).

The spelling of 8404088440 in words is "eight billion, four hundred four million, eighty-eight thousand, four hundred forty".