442340421312321 has 128 divisors (see below), whose sum is σ = 781771003453440. Its totient is φ = 241970142081024.

The previous prime is 442340421312311. The next prime is 442340421312359. The reversal of 442340421312321 is 123213124043244.

442340421312321 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 404 + 2 + 13 + 1 + 232 + 1 = 666.

It is not a de Polignac number, because 442340421312321 - 2¹⁰ = 442340421311297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442340421312311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78472981 + ... + 83920733.

It is an arithmetic number, because the mean of its divisors is an integer number (6107585964480).

Almost surely, 2^{442340421312321} is an apocalyptic number.

It is an amenable number.

442340421312321 is a deficient number, since it is larger than the sum of its proper divisors (339430582141119).

442340421312321 is a wasteful number, since it uses less digits than its factorization.

442340421312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448012 (or 5448006 counting only the distinct ones).

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

Adding to 442340421312321 its reverse (123213124043244), we get a palindrome (565553545355565).

The spelling of 442340421312321 in words is "four hundred forty-two trillion, three hundred forty billion, four hundred twenty-one million, three hundred twelve thousand, three hundred twenty-one".