4044002000 has 80 divisors (see below), whose sum is σ = 9799689744. Its totient is φ = 1614080000.

The previous prime is 4044001963. The next prime is 4044002033. The reversal of 4044002000 is 2004404.

It can be written as a sum of positive squares in 8 ways, for example, as 1480402576 + 2563599424 = 38476^2 + 50632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040060 + ... + 1043940.

Almost surely, 2^4044002000 is an apocalyptic number.

4044002000 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 4044002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899844872).

4044002000 is an abundant number, since it is smaller than the sum of its proper divisors (5755687744).

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

4044002000 is a wasteful number, since it uses less digits than its factorization.

4044002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4044002000 is about 63592.4681074732. The cubic root of 4044002000 is about 1593.2005728840.

Adding to 4044002000 its reverse (2004404), we get a palindrome (4046006404).

The spelling of 4044002000 in words is "four billion, forty-four million, two thousand", and thus it is an eban number.