441322434144 has 36 divisors (see below), whose sum is σ = 1255010672916. Its totient is φ = 147107477952.

The previous prime is 441322434109. The next prime is 441322434149. The reversal of 441322434144 is 441434223144.

441322434144 is a `hidden beast` number, since 4 + 4 + 13 + 224 + 3 + 414 + 4 = 666.

441322434144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 441322434099 and 441322434108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441322434149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 766184494 + ... + 766185069.

It is an arithmetic number, because the mean of its divisors is an integer number (34861407581).

Almost surely, 2^441322434144 is an apocalyptic number.

It is an amenable number.

441322434144 is an abundant number, since it is smaller than the sum of its proper divisors (813688238772).

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

441322434144 is a wasteful number, since it uses less digits than its factorization.

441322434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532369579 (or 1532369568 counting only the distinct ones).

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

Adding to 441322434144 its reverse (441434223144), we get a palindrome (882756657288).

The spelling of 441322434144 in words is "four hundred forty-one billion, three hundred twenty-two million, four hundred thirty-four thousand, one hundred forty-four".