442322214036021 has 144 divisors (see below), whose sum is σ = 735120163814400. Its totient is φ = 255804087052800.

The previous prime is 442322214036007. The next prime is 442322214036023. The reversal of 442322214036021 is 120630412223244.

442322214036021 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 2 + 2 + 2 + 1 + 40 + 3 + 602 + 1 = 666.

It is not a de Polignac number, because 442322214036021 - 2¹⁰ = 442322214034997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442322214036023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 688801536 + ... + 689443398.

It is an arithmetic number, because the mean of its divisors is an integer number (5105001137600).

Almost surely, 2^{442322214036021} is an apocalyptic number.

It is an amenable number.

442322214036021 is a deficient number, since it is larger than the sum of its proper divisors (292797949778379).

442322214036021 is a wasteful number, since it uses less digits than its factorization.

442322214036021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642208 (or 642194 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 442322214036021 its reverse (120630412223244), we get a palindrome (562952626259265).

The spelling of 442322214036021 in words is "four hundred forty-two trillion, three hundred twenty-two billion, two hundred fourteen million, thirty-six thousand, twenty-one".