441225242522144 has 144 divisors (see below), whose sum is σ = 946728276963840. Its totient is φ = 202181021429760.

The previous prime is 441225242522143. The next prime is 441225242522153.

441225242522144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441225242522095 and 441225242522104.

It is not an unprimeable number, because it can be changed into a prime (441225242522143) 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 23 ways as a sum of consecutive naturals, for example, 928346837 + ... + 928821995.

It is an arithmetic number, because the mean of its divisors is an integer number (6574501923360).

Almost surely, 2^{441225242522144} 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 441225242522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473364138481920).

441225242522144 is an abundant number, since it is smaller than the sum of its proper divisors (505503034441696).

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

441225242522144 is a wasteful number, since it uses less digits than its factorization.

441225242522144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477831 (or 477804 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

The spelling of 441225242522144 in words is "four hundred forty-one trillion, two hundred twenty-five billion, two hundred forty-two million, five hundred twenty-two thousand, one hundred forty-four".