4400408000 has 112 divisors (see below), whose sum is σ = 10928140704. Its totient is φ = 1755238400.

The previous prime is 4400407987. The next prime is 4400408017. The reversal of 4400408000 is 8040044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4503512 + ... + 4504488.

Almost surely, 2^4400408000 is an apocalyptic number.

4400408000 is a gapful number since it is divisible by the number (40) 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 4400408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464070352).

4400408000 is an abundant number, since it is smaller than the sum of its proper divisors (6527732704).

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

4400408000 is an equidigital number, since it uses as much as digits as its factorization.

4400408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4400408000 is about 66335.5711515323. The cubic root of 4400408000 is about 1638.6931885871.

Adding to 4400408000 its reverse (8040044), we get a palindrome (4408448044).

The spelling of 4400408000 in words is "four billion, four hundred million, four hundred eight thousand".