444441451040 has 48 divisors (see below), whose sum is σ = 1050298666200. Its totient is φ = 177724815360.

The previous prime is 444441451009. The next prime is 444441451043. The reversal of 444441451040 is 40154144444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 341864734864 + 102576716176 = 584692^2 + 320276^2 .

It is not an unprimeable number, because it can be changed into a prime (444441451043) 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 7 ways as a sum of consecutive naturals, for example, 149150 + ... + 954530.

Almost surely, 2^444441451040 is an apocalyptic number.

444441451040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444441451040 is an abundant number, since it is smaller than the sum of its proper divisors (605857215160).

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

444441451040 is a wasteful number, since it uses less digits than its factorization.

444441451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808845 (or 808837 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 444441451040 its reverse (40154144444), we get a palindrome (484595595484).

The spelling of 444441451040 in words is "four hundred forty-four billion, four hundred forty-one million, four hundred fifty-one thousand, forty".