442520085042717 has 48 divisors (see below), whose sum is σ = 650061795801600. Its totient is φ = 267566170021920.

The previous prime is 442520085042709. The next prime is 442520085042731. The reversal of 442520085042717 is 717240580025244.

It is not a de Polignac number, because 442520085042717 - 2³ = 442520085042709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442520085042717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442520085040717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264242784 + ... + 265912182.

It is an arithmetic number, because the mean of its divisors is an integer number (13542954079200).

Almost surely, 2^{442520085042717} is an apocalyptic number.

It is an amenable number.

442520085042717 is a deficient number, since it is larger than the sum of its proper divisors (207541710758883).

442520085042717 is a wasteful number, since it uses less digits than its factorization.

442520085042717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671134 (or 1671123 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 51.

The spelling of 442520085042717 in words is "four hundred forty-two trillion, five hundred twenty billion, eighty-five million, forty-two thousand, seven hundred seventeen".