444313323040 has 48 divisors (see below), whose sum is σ = 1083551212800. Its totient is φ = 171992252160.

The previous prime is 444313323037. The next prime is 444313323101. The reversal of 444313323040 is 40323313444.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 444313322993 and 444313323011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44784690 + ... + 44794609.

It is an arithmetic number, because the mean of its divisors is an integer number (22573983600).

Almost surely, 2^444313323040 is an apocalyptic number.

444313323040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444313323040 is an abundant number, since it is smaller than the sum of its proper divisors (639237889760).

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

444313323040 is a wasteful number, since it uses less digits than its factorization.

444313323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89579345 (or 89579337 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 444313323040 its reverse (40323313444), we get a palindrome (484636636484).

The spelling of 444313323040 in words is "four hundred forty-four billion, three hundred thirteen million, three hundred twenty-three thousand, forty".