441135531144 has 192 divisors, whose sum is σ = 1537599098880. Its totient is φ = 110884464000.

The previous prime is 441135531143. The next prime is 441135531251.

441135531144 is a `hidden beast` number, since 4 + 4 + 113 + 5 + 531 + 1 + 4 + 4 = 666.

441135531144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 441135531099 and 441135531108.

It is not an unprimeable number, because it can be changed into a prime (441135531143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111522 + ... + 1455249.

It is an arithmetic number, because the mean of its divisors is an integer number (8008328640).

Almost surely, 2^441135531144 is an apocalyptic number.

441135531144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441135531144 is an abundant number, since it is smaller than the sum of its proper divisors (1096463567736).

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

441135531144 is a wasteful number, since it uses less digits than its factorization.

441135531144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566832 (or 2566825 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 441135 and 531144, that added together give a palindrome (972279).

The spelling of 441135531144 in words is "four hundred forty-one billion, one hundred thirty-five million, five hundred thirty-one thousand, one hundred forty-four".