441242120000000 has 1280 divisors, whose sum is σ = 1277467979673600. Its totient is φ = 150670080000000.

The previous prime is 441242119999991. The next prime is 441242120000029. The reversal of 441242120000000 is 21242144.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 597079999631 + ... + 597080000369.

It is an arithmetic number, because the mean of its divisors is an integer number (998021859120).

Almost surely, 2^{441242120000000} is an apocalyptic number.

441242120000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441242120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638733989836800).

441242120000000 is an abundant number, since it is smaller than the sum of its proper divisors (836225859673600).

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

441242120000000 is an frugal number, since it uses more digits than its factorization.

441242120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 441242120000000 its reverse (21242144), we get a palindrome (441242141242144).

The spelling of 441242120000000 in words is "four hundred forty-one trillion, two hundred forty-two billion, one hundred twenty million", and thus it is an aban number.