442026852201 has 27 divisors (see below), whose sum is σ = 701838717853. Its totient is φ = 267881764920.

The previous prime is 442026852167. The next prime is 442026852209. The reversal of 442026852201 is 102258620244.

The square root of 442026852201 is 664851.

It is a perfect power (a square), and thus also a powerful number.

442026852201 is a `hidden beast` number, since 4 + 420 + 2 + 6 + 8 + 5 + 220 + 1 = 666.

It is not a de Polignac number, because 442026852201 - 2¹³ = 442026844009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442026852209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21930010 + ... + 21950156.

Almost surely, 2^442026852201 is an apocalyptic number.

442026852201 is the 664851-st square number.

442026852201 is the 332426-th centered octagonal number.

It is an amenable number.

442026852201 is a deficient number, since it is larger than the sum of its proper divisors (259811865652).

442026852201 is an frugal number, since it uses more digits than its factorization.

442026852201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40322 (or 20161 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 442026852201 by its sum of digits (36), we get a square (15912966679236 = 3989106²).

The spelling of 442026852201 in words is "four hundred forty-two billion, twenty-six million, eight hundred fifty-two thousand, two hundred one".