441000000000144 has 60 divisors (see below), whose sum is σ = 1329125000006076. Its totient is φ = 135692307691776.

The previous prime is 441000000000089. The next prime is 441000000000173.

441000000000144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 65236507455744 + 375763492544400 = 8076912^2 + 19384620^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117788459667 + ... + 117788463410.

Almost surely, 2^{441000000000144} is an apocalyptic number.

It is an amenable number.

441000000000144 is an abundant number, since it is smaller than the sum of its proper divisors (888125000005932).

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

441000000000144 is a wasteful number, since it uses less digits than its factorization.

441000000000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235576923104 (or 235576923095 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 441000000000 and 144, that added together give a palindrome (441000000144).

The spelling of 441000000000144 in words is "four hundred forty-one trillion, one hundred forty-four", and thus it is an aban number.