442101413110 has 128 divisors (see below), whose sum is σ = 967160217600. Its totient is φ = 142224593280.

The previous prime is 442101413107. The next prime is 442101413129. The reversal of 442101413110 is 11314101244.

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 63 ways as a sum of consecutive naturals, for example, 46635351 + ... + 46644829.

It is an arithmetic number, because the mean of its divisors is an integer number (7555939200).

Almost surely, 2^442101413110 is an apocalyptic number.

442101413110 is an abundant number, since it is smaller than the sum of its proper divisors (525058804490).

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

442101413110 is a wasteful number, since it uses less digits than its factorization.

442101413110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10066.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 442101413110 its reverse (11314101244), we get a palindrome (453415514354).

The spelling of 442101413110 in words is "four hundred forty-two billion, one hundred one million, four hundred thirteen thousand, one hundred ten".