441484484144 has 20 divisors (see below), whose sum is σ = 933137660040. Its totient is φ = 200674765440.

The previous prime is 441484484137. The next prime is 441484484173.

441484484144 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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 = 441484484092 and 441484484101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1254217109 + ... + 1254217460.

It is an arithmetic number, because the mean of its divisors is an integer number (46656883002).

Almost surely, 2^441484484144 is an apocalyptic number.

441484484144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441484484144 is an abundant number, since it is smaller than the sum of its proper divisors (491653175896).

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

441484484144 is a wasteful number, since it uses less digits than its factorization.

441484484144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508434588 (or 2508434582 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 50.

The spelling of 441484484144 in words is "four hundred forty-one billion, four hundred eighty-four million, four hundred eighty-four thousand, one hundred forty-four".