441243342144 has 84 divisors (see below), whose sum is σ = 1379721152160. Its totient is φ = 133710101760.

The previous prime is 441243342131. The next prime is 441243342149.

441243342144 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 433 + 4 + 214 + 4 = 666.

441243342144 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441243342099 and 441243342108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441243342149) 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 11 ways as a sum of consecutive naturals, for example, 34814004 + ... + 34826675.

Almost surely, 2^441243342144 is an apocalyptic number.

441243342144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441243342144 is an abundant number, since it is smaller than the sum of its proper divisors (938477810016).

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

441243342144 is a wasteful number, since it uses less digits than its factorization.

441243342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69640708 (or 69640695 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 441243 and 342144, that added together give a palindrome (783387).

The spelling of 441243342144 in words is "four hundred forty-one billion, two hundred forty-three million, three hundred forty-two thousand, one hundred forty-four".