4444010000 has 50 divisors (see below), whose sum is σ = 10759416822. Its totient is φ = 1777600000.

The previous prime is 4444009981. The next prime is 4444010009. The reversal of 4444010000 is 104444.

It can be written as a sum of positive squares in 5 ways, for example, as 914699536 + 3529310464 = 30244^2 + 59408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4444010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 212201 + ... + 232200.

Almost surely, 2^4444010000 is an apocalyptic number.

4444010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444010000 is an abundant number, since it is smaller than the sum of its proper divisors (6315406822).

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

4444010000 is an equidigital number, since it uses as much as digits as its factorization.

4444010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444429 (or 444408 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4444010000 is about 66663.4082537039. The cubic root of 4444010000 is about 1644.0878095346.

Adding to 4444010000 its reverse (104444), we get a palindrome (4444114444).

The spelling of 4444010000 in words is "four billion, four hundred forty-four million, ten thousand".