444314430100 has 36 divisors (see below), whose sum is σ = 1006082419104. Its totient is φ = 169998563680.

The previous prime is 444314430071. The next prime is 444314430101. The reversal of 444314430100 is 1034413444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444314430101) 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, 96587794 + ... + 96592393.

It is an arithmetic number, because the mean of its divisors is an integer number (27946733864).

Almost surely, 2^444314430100 is an apocalyptic number.

It is an amenable number.

444314430100 is an abundant number, since it is smaller than the sum of its proper divisors (561767989004).

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

444314430100 is a wasteful number, since it uses less digits than its factorization.

444314430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193180224 (or 193180217 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 444314430100 its reverse (1034413444), we get a palindrome (445348843544).

The spelling of 444314430100 in words is "four hundred forty-four billion, three hundred fourteen million, four hundred thirty thousand, one hundred".