442452217824 has 72 divisors (see below), whose sum is σ = 1258584130440. Its totient is φ = 147441800448.

The previous prime is 442452217811. The next prime is 442452217829. The reversal of 442452217824 is 428712254244.

It is a happy number.

442452217824 is a `hidden beast` number, since 4 + 4 + 2 + 452 + 2 + 178 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 442452217824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442452217829) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 794487 + ... + 1231305.

It is an arithmetic number, because the mean of its divisors is an integer number (17480335145).

Almost surely, 2^442452217824 is an apocalyptic number.

It is an amenable number.

442452217824 is an abundant number, since it is smaller than the sum of its proper divisors (816131912616).

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

442452217824 is a wasteful number, since it uses less digits than its factorization.

442452217824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440352 (or 440341 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 45.

The spelling of 442452217824 in words is "four hundred forty-two billion, four hundred fifty-two million, two hundred seventeen thousand, eight hundred twenty-four".