441214412144 has 40 divisors (see below), whose sum is σ = 932755680768. Its totient is φ = 200511391680.

The previous prime is 441214412131. The next prime is 441214412179.

441214412144 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 441214412144.

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, 626369 + ... + 1129055.

Almost surely, 2^441214412144 is an apocalyptic number.

441214412144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441214412144 is an abundant number, since it is smaller than the sum of its proper divisors (491541268624).

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

441214412144 is a wasteful number, since it uses less digits than its factorization.

441214412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507693 (or 507687 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 441214 and 412144, that added together give a palindrome (853358).

The spelling of 441214412144 in words is "four hundred forty-one billion, two hundred fourteen million, four hundred twelve thousand, one hundred forty-four".