441412214144 has 64 divisors (see below), whose sum is σ = 959486072400. Its totient is φ = 200607006720.

The previous prime is 441412214123. The next prime is 441412214153.

441412214144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 441412214144.

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, 9168824 + ... + 9216840.

Almost surely, 2^441412214144 is an apocalyptic number.

441412214144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441412214144 is an abundant number, since it is smaller than the sum of its proper divisors (518073858256).

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

441412214144 is a wasteful number, since it uses less digits than its factorization.

441412214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54571 (or 54559 counting only the distinct ones).

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

It can be divided in two parts, 441412 and 214144, that added together give a palindrome (655556).

The spelling of 441412214144 in words is "four hundred forty-one billion, four hundred twelve million, two hundred fourteen thousand, one hundred forty-four".