4440204442000 has 80 divisors (see below), whose sum is σ = 11106635670000. Its totient is φ = 1714837555200.

The previous prime is 4440204441941. The next prime is 4440204442153. The reversal of 4440204442000 is 2444020444.

It can be written as a sum of positive squares in 8 ways, for example, as 2197829970064 + 2242374471936 = 1482508^2 + 1497456^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4440204442000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38219625 + ... + 38335624.

It is an arithmetic number, because the mean of its divisors is an integer number (138832945875).

Almost surely, 2^{4440204442000} is an apocalyptic number.

4440204442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440204442000 is an abundant number, since it is smaller than the sum of its proper divisors (6666431228000).

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

4440204442000 is a wasteful number, since it uses less digits than its factorization.

4440204442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76555301 (or 76555285 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4440204442000 its reverse (2444020444), we get a palindrome (4442648462444).

The spelling of 4440204442000 in words is "four trillion, four hundred forty billion, two hundred four million, four hundred forty-two thousand".