4405010000 has 50 divisors (see below), whose sum is σ = 10664993922. Its totient is φ = 1762000000.

The previous prime is 4405009997. The next prime is 4405010021. The reversal of 4405010000 is 105044.

It can be written as a sum of positive squares in 5 ways, for example, as 2595698704 + 1809311296 = 50948^2 + 42536^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×4405010000² = 38808226200200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 210251 + ... + 230250.

Almost surely, 2^4405010000 is an apocalyptic number.

4405010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4405010000 is an abundant number, since it is smaller than the sum of its proper divisors (6259983922).

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

4405010000 is an equidigital number, since it uses as much as digits as its factorization.

4405010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440529 (or 440508 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4405010000 is about 66370.2493591820. The cubic root of 4405010000 is about 1639.2642446244.

Adding to 4405010000 its reverse (105044), we get a palindrome (4405115044).

The spelling of 4405010000 in words is "four billion, four hundred five million, ten thousand".