441310202013144 has 384 divisors, whose sum is σ = 1271500606978560. Its totient is φ = 126928071401472.

The previous prime is 441310202013137. The next prime is 441310202013223.

It is a happy number.

441310202013144 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 860472274 + ... + 860984990.

It is an arithmetic number, because the mean of its divisors is an integer number (3311199497340).

Almost surely, 2^{441310202013144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441310202013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635750303489280).

441310202013144 is an abundant number, since it is smaller than the sum of its proper divisors (830190404965416).

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

441310202013144 is a wasteful number, since it uses less digits than its factorization.

441310202013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512907 (or 512866 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 44131020 and 2013144, that added together give a palindrome (46144164).

The spelling of 441310202013144 in words is "four hundred forty-one trillion, three hundred ten billion, two hundred two million, thirteen thousand, one hundred forty-four".