442113242412024 has 48 divisors (see below), whose sum is σ = 1203659089326720. Its totient is φ = 146599504460160.

The previous prime is 442113242412019. The next prime is 442113242412031. The reversal of 442113242412024 is 420214242311244.

442113242412024 is a `hidden beast` number, since 4 + 4 + 21 + 1 + 3 + 2 + 424 + 1 + 202 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 442113242412024.

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 11 ways as a sum of consecutive naturals, for example, 16074493317 + ... + 16074520820.

It is an arithmetic number, because the mean of its divisors is an integer number (25076231027640).

Almost surely, 2^{442113242412024} is an apocalyptic number.

It is an amenable number.

442113242412024 is an abundant number, since it is smaller than the sum of its proper divisors (761545846914696).

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

442113242412024 is a wasteful number, since it uses less digits than its factorization.

442113242412024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32149014340 (or 32149014333 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 442113242412024 its reverse (420214242311244), we get a palindrome (862327484723268).

The spelling of 442113242412024 in words is "four hundred forty-two trillion, one hundred thirteen billion, two hundred forty-two million, four hundred twelve thousand, twenty-four".