442314320012004 has 24 divisors (see below), whose sum is σ = 1125890996394528. Its totient is φ = 134034642427840.

The previous prime is 442314320012003. The next prime is 442314320012011. The reversal of 442314320012004 is 400210023413244.

It is not an unprimeable number, because it can be changed into a prime (442314320012003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1675433030217 + ... + 1675433030480.

It is an arithmetic number, because the mean of its divisors is an integer number (46912124849772).

Almost surely, 2^{442314320012004} is an apocalyptic number.

442314320012004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442314320012004 is an abundant number, since it is smaller than the sum of its proper divisors (683576676382524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442314320012004 is a wasteful number, since it uses less digits than its factorization.

442314320012004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350866060715 (or 3350866060713 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 442314320012004 its reverse (400210023413244), we get a palindrome (842524343425248).

The spelling of 442314320012004 in words is "four hundred forty-two trillion, three hundred fourteen billion, three hundred twenty million, twelve thousand, four".