442715517244 has 72 divisors (see below), whose sum is σ = 1058802213168. Its totient is φ = 159218357760.

The previous prime is 442715517241. The next prime is 442715517311.

442715517244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442715517244² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442715517194 and 442715517203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442715517241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7869709 + ... + 7925764.

It is an arithmetic number, because the mean of its divisors is an integer number (14705586294).

Almost surely, 2^442715517244 is an apocalyptic number.

442715517244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442715517244 is an abundant number, since it is smaller than the sum of its proper divisors (616086695924).

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

442715517244 is a wasteful number, since it uses less digits than its factorization.

442715517244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15795515 (or 15795506 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 46.

It can be divided in two parts, 442715 and 517244, that added together give a palindrome (959959).

The spelling of 442715517244 in words is "four hundred forty-two billion, seven hundred fifteen million, five hundred seventeen thousand, two hundred forty-four".