4000000000444 has 48 divisors (see below), whose sum is σ = 8021209432320. Its totient is φ = 1709746473600.

The previous prime is 4000000000433. The next prime is 4000000000517. The reversal of 4000000000444 is 4440000000004.

4000000000444 is a modest number, since divided by 444 gives 4 as remainder.

It is a congruent number.

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, 17031099 + ... + 17264365.

It is an arithmetic number, because the mean of its divisors is an integer number (167108529840).

Almost surely, 2^{4000000000444} is an apocalyptic number.

It is an amenable number.

4000000000444 is an abundant number, since it is smaller than the sum of its proper divisors (4021209431876).

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

4000000000444 is a wasteful number, since it uses less digits than its factorization.

4000000000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234898 (or 234896 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4000000000444 its reverse (4440000000004), we get a palindrome (8440000000448).

The spelling of 4000000000444 in words is "four trillion, four hundred forty-four", and thus it is an aban number.