4405000000 has 112 divisors (see below), whose sum is σ = 10938839184. Its totient is φ = 1760000000.

The previous prime is 4404999959. The next prime is 4405000031. The reversal of 4405000000 is 5044.

It can be written as a sum of positive squares in 8 ways, for example, as 2692364544 + 1712635456 = 51888^2 + 41384^2 .

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, 4999560 + ... + 5000440.

It is an arithmetic number, because the mean of its divisors is an integer number (97668207).

Almost surely, 2^4405000000 is an apocalyptic number.

4405000000 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 4405000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469419592).

4405000000 is an abundant number, since it is smaller than the sum of its proper divisors (6533839184).

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

4405000000 is an frugal number, since it uses more digits than its factorization.

4405000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4405000000 is about 66370.1740241805. The cubic root of 4405000000 is about 1639.2630041690.

Adding to 4405000000 its reverse (5044), we get a palindrome (4405005044).

The spelling of 4405000000 in words is "four billion, four hundred five million", and thus it is an aban number.