441133331144 has 32 divisors (see below), whose sum is σ = 911252039040. Its totient is φ = 198529848000.

The previous prime is 441133331083. The next prime is 441133331159.

441133331144 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 441133331144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24807344 + ... + 24825119.

It is an arithmetic number, because the mean of its divisors is an integer number (28476626220).

Almost surely, 2^441133331144 is an apocalyptic number.

441133331144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441133331144 is an abundant number, since it is smaller than the sum of its proper divisors (470118707896).

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

441133331144 is a wasteful number, since it uses less digits than its factorization.

441133331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49632581 (or 49632577 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 441133 and 331144, that added together give a palindrome (772277).

The spelling of 441133331144 in words is "four hundred forty-one billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred forty-four".