441222525222144 has 72 divisors (see below), whose sum is σ = 1206033079295520. Its totient is φ = 143099197360128.

The previous prime is 441222525222071. The next prime is 441222525222169.

441222525222144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441222525222096 and 441222525222105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7763599914 + ... + 7763656745.

It is an arithmetic number, because the mean of its divisors is an integer number (16750459434660).

Almost surely, 2^{441222525222144} is an apocalyptic number.

It is an amenable number.

441222525222144 is an abundant number, since it is smaller than the sum of its proper divisors (764810554073376).

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

441222525222144 is a wasteful number, since it uses less digits than its factorization.

441222525222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15527256715 (or 15527256701 counting only the distinct ones).

The product of its digits is 819200, while the sum is 42.

The spelling of 441222525222144 in words is "four hundred forty-one trillion, two hundred twenty-two billion, five hundred twenty-five million, two hundred twenty-two thousand, one hundred forty-four".