444812880000 has 160 divisors (see below), whose sum is σ = 1476445948560. Its totient is φ = 118616704000.

The previous prime is 444812879999. The next prime is 444812880007. The reversal of 444812880000 is 88218444.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (444812880007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 686694 + ... + 1166693.

Almost surely, 2^444812880000 is an apocalyptic number.

444812880000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444812880000 is an abundant number, since it is smaller than the sum of its proper divisors (1031633068560).

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

444812880000 is an equidigital number, since it uses as much as digits as its factorization.

444812880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853424 (or 1853397 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The spelling of 444812880000 in words is "four hundred forty-four billion, eight hundred twelve million, eight hundred eighty thousand".