442015334535441 has 16 divisors (see below), whose sum is σ = 609679658266560. Its totient is φ = 284514061406400.

The previous prime is 442015334535323. The next prime is 442015334535443. The reversal of 442015334535441 is 144535433510244.

It is a happy number.

It is not a de Polignac number, because 442015334535441 - 2⁹ = 442015334534929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442015334535443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2208891 + ... + 29814591.

It is an arithmetic number, because the mean of its divisors is an integer number (38104978641660).

Almost surely, 2^{442015334535441} is an apocalyptic number.

It is an amenable number.

442015334535441 is a deficient number, since it is larger than the sum of its proper divisors (167664323731119).

442015334535441 is a wasteful number, since it uses less digits than its factorization.

442015334535441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27789776.

The product of its (nonzero) digits is 6912000, while the sum is 48.

The spelling of 442015334535441 in words is "four hundred forty-two trillion, fifteen billion, three hundred thirty-four million, five hundred thirty-five thousand, four hundred forty-one".