441284482144 has 48 divisors (see below), whose sum is σ = 952569824976. Its totient is φ = 199565632000.

The previous prime is 441284482129. The next prime is 441284482151.

441284482144 is nontrivially palindromic in base 10.

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 = 441284482094 and 441284482103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3112507 + ... + 3251194.

It is an arithmetic number, because the mean of its divisors is an integer number (19845204687).

Almost surely, 2^441284482144 is an apocalyptic number.

441284482144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441284482144 is an abundant number, since it is smaller than the sum of its proper divisors (511285342832).

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

441284482144 is a wasteful number, since it uses less digits than its factorization.

441284482144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363919 (or 6363911 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 46.

The spelling of 441284482144 in words is "four hundred forty-one billion, two hundred eighty-four million, four hundred eighty-two thousand, one hundred forty-four".