4440404000 has 96 divisors (see below), whose sum is σ = 10935143856. Its totient is φ = 1772083200.

The previous prime is 4440403993. The next prime is 4440404027. The reversal of 4440404000 is 4040444.

It can be written as a sum of positive squares in 8 ways, for example, as 14961424 + 4425442576 = 3868^2 + 66524^2 .

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

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, 2227004 + ... + 2228996.

Almost surely, 2^4440404000 is an apocalyptic number.

4440404000 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 4440404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467571928).

4440404000 is an abundant number, since it is smaller than the sum of its proper divisors (6494739856).

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

4440404000 is a wasteful number, since it uses less digits than its factorization.

4440404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4440404000 is about 66636.3564430109. The cubic root of 4440404000 is about 1643.6430021868.

Adding to 4440404000 its reverse (4040444), we get a palindrome (4444444444).

The spelling of 4440404000 in words is "four billion, four hundred forty million, four hundred four thousand".