1441300031441 has 16 divisors (see below), whose sum is σ = 1460194117200. Its totient is φ = 1422501120000.

The previous prime is 1441300031417. The next prime is 1441300031443.

It is a happy number.

1441300031441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 4238530816 + 1437061500625 = 65104^2 + 1198775^2 .

It is a cyclic number.

It is not a de Polignac number, because 1441300031441 - 2¹⁸ = 1441299769297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1441300031441.

It is not an unprimeable number, because it can be changed into a prime (1441300031443) 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, 70749305 + ... + 70769673.

It is an arithmetic number, because the mean of its divisors is an integer number (91262132325).

Almost surely, 2^{1441300031441} is an apocalyptic number.

It is an amenable number.

1441300031441 is a deficient number, since it is larger than the sum of its proper divisors (18894085759).

1441300031441 is a wasteful number, since it uses less digits than its factorization.

1441300031441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22660.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 14413000 and 31441, that added together give a palindrome (14444441).

The spelling of 1441300031441 in words is "one trillion, four hundred forty-one billion, three hundred million, thirty-one thousand, four hundred forty-one".