4144330000 has 50 divisors (see below), whose sum is σ = 10033861574. Its totient is φ = 1657728000.

The previous prime is 4144329997. The next prime is 4144330007. The reversal of 4144330000 is 334414.

It can be written as a sum of positive squares in 5 ways, for example, as 2024280064 + 2120049936 = 44992^2 + 46044^2 .

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

It is a super-2 number, since 2×4144330000² = 34350942297800000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4144330000.

It is not an unprimeable number, because it can be changed into a prime (4144330007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 197217 + ... + 217216.

Almost surely, 2^4144330000 is an apocalyptic number.

4144330000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144330000 is an abundant number, since it is smaller than the sum of its proper divisors (5889531574).

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

4144330000 is an equidigital number, since it uses as much as digits as its factorization.

4144330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414461 (or 414440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4144330000 is about 64376.4708569831. The cubic root of 4144330000 is about 1606.2683788214.

Adding to 4144330000 its reverse (334414), we get a palindrome (4144664414).

The spelling of 4144330000 in words is "four billion, one hundred forty-four million, three hundred thirty thousand".