442021144534152 has 128 divisors (see below), whose sum is σ = 1140946853880960. Its totient is φ = 142637812162560.

The previous prime is 442021144534147. The next prime is 442021144534171. The reversal of 442021144534152 is 251435441120244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35428498 + ... + 46251710.

It is an arithmetic number, because the mean of its divisors is an integer number (8913647295945).

Almost surely, 2^{442021144534152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442021144534152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570473426940480).

442021144534152 is an abundant number, since it is smaller than the sum of its proper divisors (698925709346808).

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

442021144534152 is a wasteful number, since it uses less digits than its factorization.

442021144534152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823703 (or 10823699 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

Adding to 442021144534152 its reverse (251435441120244), we get a palindrome (693456585654396).

The spelling of 442021144534152 in words is "four hundred forty-two trillion, twenty-one billion, one hundred forty-four million, five hundred thirty-four thousand, one hundred fifty-two".