442258839072 has 162 divisors, whose sum is σ = 1271003629077. Its totient is φ = 145873450752.

The previous prime is 442258839047. The next prime is 442258839079. The reversal of 442258839072 is 270938852244.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

442258839072 is a `hidden beast` number, since 4 + 4 + 22 + 588 + 39 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 363363017616 + 78895821456 = 602796^2 + 280884^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=470244.

It is not an unprimeable number, because it can be changed into a prime (442258839079) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1681592413 + ... + 1681592675.

Almost surely, 2^442258839072 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 442258839072

442258839072 is an abundant number, since it is smaller than the sum of its proper divisors (828744790005).

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

442258839072 is an equidigital number, since it uses as much as digits as its factorization.

442258839072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 442258839072 in words is "four hundred forty-two billion, two hundred fifty-eight million, eight hundred thirty-nine thousand, seventy-two".