444430212000 has 96 divisors (see below), whose sum is σ = 1455953413824. Its totient is φ = 118514720000.

The previous prime is 444430211989. The next prime is 444430212001. The reversal of 444430212000 is 212034444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (444430212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18505926 + ... + 18529925.

It is an arithmetic number, because the mean of its divisors is an integer number (15166181394).

Almost surely, 2^444430212000 is an apocalyptic number.

444430212000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444430212000 is an abundant number, since it is smaller than the sum of its proper divisors (1011523201824).

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

444430212000 is a wasteful number, since it uses less digits than its factorization.

444430212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37035879 (or 37035861 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444430212000 its reverse (212034444), we get a palindrome (444642246444).

The spelling of 444430212000 in words is "four hundred forty-four billion, four hundred thirty million, two hundred twelve thousand".