441124421144 has 64 divisors (see below), whose sum is σ = 933812064000. Its totient is φ = 193514312320.

The previous prime is 441124421131. The next prime is 441124421183.

441124421144 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 441124421144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6147827 + ... + 6219165.

It is an arithmetic number, because the mean of its divisors is an integer number (14590813500).

Almost surely, 2^441124421144 is an apocalyptic number.

441124421144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441124421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466906032000).

441124421144 is an abundant number, since it is smaller than the sum of its proper divisors (492687642856).

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

441124421144 is a wasteful number, since it uses less digits than its factorization.

441124421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73808 (or 73804 counting only the distinct ones).

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

It can be divided in two parts, 441124 and 421144, that added together give a palindrome (862268).

The spelling of 441124421144 in words is "four hundred forty-one billion, one hundred twenty-four million, four hundred twenty-one thousand, one hundred forty-four".