441642246144 has 112 divisors (see below), whose sum is σ = 1284699813120. Its totient is φ = 133830901760.

The previous prime is 441642246107. The next prime is 441642246163.

441642246144 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 = 441642246096 and 441642246105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546504 + ... + 1087175.

Almost surely, 2^441642246144 is an apocalyptic number.

441642246144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441642246144 is an abundant number, since it is smaller than the sum of its proper divisors (843057566976).

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

441642246144 is a wasteful number, since it uses less digits than its factorization.

441642246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633719 (or 1633695 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 441642 and 246144, that added together give a palindrome (687786).

The spelling of 441642246144 in words is "four hundred forty-one billion, six hundred forty-two million, two hundred forty-six thousand, one hundred forty-four".