444440400400 has 60 divisors (see below), whose sum is σ = 1070556337152. Its totient is φ = 177311931520.

The previous prime is 444440400389. The next prime is 444440400407. The reversal of 444440400400 is 4004044444.

It is not an unprimeable number, because it can be changed into a prime (444440400407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1297324 + ... + 1603723.

Almost surely, 2^444440400400 is an apocalyptic number.

444440400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444440400400 is an abundant number, since it is smaller than the sum of its proper divisors (626115936752).

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

444440400400 is a wasteful number, since it uses less digits than its factorization.

444440400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901448 (or 2901437 counting only the distinct ones).

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

Adding to 444440400400 its reverse (4004044444), we get a palindrome (448444444844).

The spelling of 444440400400 in words is "four hundred forty-four billion, four hundred forty million, four hundred thousand, four hundred".