442102401241104 has 80 divisors (see below), whose sum is σ = 1142853382344960. Its totient is φ = 147270011166720.

The previous prime is 442102401241099. The next prime is 442102401241159. The reversal of 442102401241104 is 401142104201244.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 481487689 + ... + 482405015.

It is an arithmetic number, because the mean of its divisors is an integer number (14285667279312).

Almost surely, 2^{442102401241104} is an apocalyptic number.

It is an amenable number.

442102401241104 is an abundant number, since it is smaller than the sum of its proper divisors (700750981103856).

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

442102401241104 is a wasteful number, since it uses less digits than its factorization.

442102401241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923968 (or 923962 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 442102401241104 its reverse (401142104201244), we get a palindrome (843244505442348).

The spelling of 442102401241104 in words is "four hundred forty-two trillion, one hundred two billion, four hundred one million, two hundred forty-one thousand, one hundred four".