442421043004000 has 96 divisors (see below), whose sum is σ = 1088211350116800. Its totient is φ = 176775849446400.

The previous prime is 442421043003949. The next prime is 442421043004013. The reversal of 442421043004000 is 400340124244.

It is a self number, because there is not a number n which added to its sum of digits gives 442421043004000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56500965 + ... + 63852964.

It is an arithmetic number, because the mean of its divisors is an integer number (11335534897050).

Almost surely, 2^{442421043004000} is an apocalyptic number.

442421043004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442421043004000 is an abundant number, since it is smaller than the sum of its proper divisors (645790307112800).

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

442421043004000 is a wasteful number, since it uses less digits than its factorization.

442421043004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120354873 (or 120354855 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 442421043004000 its reverse (400340124244), we get a palindrome (442821383128244).

The spelling of 442421043004000 in words is "four hundred forty-two trillion, four hundred twenty-one billion, forty-three million, four thousand".