8404404400 has 120 divisors (see below), whose sum is σ = 23125350240. Its totient is φ = 2875361280.

The previous prime is 8404404367. The next prime is 8404404413. The reversal of 8404404400 is 44044048.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422252 + ... + 1428148.

It is an arithmetic number, because the mean of its divisors is an integer number (192711252).

Almost surely, 2^8404404400 is an apocalyptic number.

8404404400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8404404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11562675120).

8404404400 is an abundant number, since it is smaller than the sum of its proper divisors (14720945840).

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

8404404400 is a wasteful number, since it uses less digits than its factorization.

8404404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 8404404400 is about 91675.5387221695. The cubic root of 8404404400 is about 2033.1479385447.

Adding to 8404404400 its reverse (44044048), we get a palindrome (8448448448).

The spelling of 8404404400 in words is "eight billion, four hundred four million, four hundred four thousand, four hundred".