441412144032 has 96 divisors (see below), whose sum is σ = 1167849736704. Its totient is φ = 145978848000.

The previous prime is 441412144031. The next prime is 441412144037. The reversal of 441412144032 is 230441214144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×441412144032² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441412144031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11737483 + ... + 11775029.

It is an arithmetic number, because the mean of its divisors is an integer number (12165101424).

Almost surely, 2^441412144032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441412144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583924868352).

441412144032 is an abundant number, since it is smaller than the sum of its proper divisors (726437592672).

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

441412144032 is a wasteful number, since it uses less digits than its factorization.

441412144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38522 (or 38514 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 441412144032 its reverse (230441214144), we get a palindrome (671853358176).

The spelling of 441412144032 in words is "four hundred forty-one billion, four hundred twelve million, one hundred forty-four thousand, thirty-two".