4405313000 has 128 divisors (see below), whose sum is σ = 11281420800. Its totient is φ = 1596832000.

The previous prime is 4405312979. The next prime is 4405313009. The reversal of 4405313000 is 3135044.

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

It is not an unprimeable number, because it can be changed into a prime (4405313009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6126641 + ... + 6127359.

It is an arithmetic number, because the mean of its divisors is an integer number (88136100).

Almost surely, 2^4405313000 is an apocalyptic number.

4405313000 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 4405313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640710400).

4405313000 is an abundant number, since it is smaller than the sum of its proper divisors (6876107800).

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

4405313000 is a wasteful number, since it uses less digits than its factorization.

4405313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4405313000 is about 66372.5319691813. The cubic root of 4405313000 is about 1639.3018295317.

Adding to 4405313000 its reverse (3135044), we get a palindrome (4408448044).

The spelling of 4405313000 in words is "four billion, four hundred five million, three hundred thirteen thousand".