442131444000 has 1152 divisors, whose sum is σ = 1788287155200. Its totient is φ = 102762086400.

The previous prime is 442131443989. The next prime is 442131444023. The reversal of 442131444000 is 444131244.

442131444000 is a `hidden beast` number, since 4 + 4 + 213 + 1 + 4 + 440 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 546515596 + ... + 546516404.

It is an arithmetic number, because the mean of its divisors is an integer number (1552332600).

Almost surely, 2^442131444000 is an apocalyptic number.

442131444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442131444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894143577600).

442131444000 is an abundant number, since it is smaller than the sum of its proper divisors (1346155711200).

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

442131444000 is a wasteful number, since it uses less digits than its factorization.

442131444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442131444000 its reverse (444131244), we get a palindrome (442575575244).

The spelling of 442131444000 in words is "four hundred forty-two billion, one hundred thirty-one million, four hundred forty-four thousand".