442365563244 has 96 divisors (see below), whose sum is σ = 1128289865472. Its totient is φ = 133780480000.

The previous prime is 442365563239. The next prime is 442365563251.

442365563244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442365563193 and 442365563202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260674204 + ... + 260675900.

It is an arithmetic number, because the mean of its divisors is an integer number (11753019432).

Almost surely, 2^442365563244 is an apocalyptic number.

442365563244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442365563244 is an abundant number, since it is smaller than the sum of its proper divisors (685924302228).

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

442365563244 is a wasteful number, since it uses less digits than its factorization.

442365563244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4525 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 442365563244 in words is "four hundred forty-two billion, three hundred sixty-five million, five hundred sixty-three thousand, two hundred forty-four".