441211444112144 has 20 divisors (see below), whose sum is σ = 882422888225280. Its totient is φ = 213489408441120.

The previous prime is 441211444112083. The next prime is 441211444112167.

441211444112144 is nontrivially palindromic in base 10.

441211444112144 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441211444112098 and 441211444112107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 444769600424 + ... + 444769601415.

It is an arithmetic number, because the mean of its divisors is an integer number (44121144411264).

Almost surely, 2^{441211444112144} is an apocalyptic number.

It is an amenable number.

441211444112144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

441211444112144 is a wasteful number, since it uses less digits than its factorization.

441211444112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889539201878 (or 889539201872 counting only the distinct ones).

The product of its digits is 65536, while the sum is 38.

The spelling of 441211444112144 in words is "four hundred forty-one trillion, two hundred eleven billion, four hundred forty-four million, one hundred twelve thousand, one hundred forty-four".