4024441000 has 64 divisors (see below), whose sum is σ = 9432268560. Its totient is φ = 1607200000.

The previous prime is 4024440929. The next prime is 4024441009. The reversal of 4024441000 is 1444204.

It can be written as a sum of positive squares in 8 ways, for example, as 560647684 + 3463793316 = 23678^2 + 58854^2 .

It is a super-2 number, since 2×4024441000² = 32392250724962000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4024441009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698130 + ... + 703870.

Almost surely, 2^4024441000 is an apocalyptic number.

4024441000 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 4024441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716134280).

4024441000 is an abundant number, since it is smaller than the sum of its proper divisors (5407827560).

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

4024441000 is a wasteful number, since it uses less digits than its factorization.

4024441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4024441000 is about 63438.4820121037. The cubic root of 4024441000 is about 1590.6276282278.

Adding to 4024441000 its reverse (1444204), we get a palindrome (4025885204).

The spelling of 4024441000 in words is "four billion, twenty-four million, four hundred forty-one thousand".