442522464225244 has 36 divisors (see below), whose sum is σ = 875026411153776. Its totient is φ = 195361087878528.

The previous prime is 442522464225151. The next prime is 442522464225251.

442522464225244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×442522464225244³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 442522464225191 and 442522464225200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14230832929 + ... + 14230864024.

It is an arithmetic number, because the mean of its divisors is an integer number (24306289198716).

Almost surely, 2^{442522464225244} is an apocalyptic number.

It is an amenable number.

442522464225244 is a deficient number, since it is larger than the sum of its proper divisors (432503946928532).

442522464225244 is a wasteful number, since it uses less digits than its factorization.

442522464225244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28461697006 (or 28461696991 counting only the distinct ones).

The product of its digits is 39321600, while the sum is 52.

The spelling of 442522464225244 in words is "four hundred forty-two trillion, five hundred twenty-two billion, four hundred sixty-four million, two hundred twenty-five thousand, two hundred forty-four".