442183137984 has 672 divisors, whose sum is σ = 1571063070720. Its totient is φ = 116099536896.

The previous prime is 442183137973. The next prime is 442183137997. The reversal of 442183137984 is 489731381244.

442183137984 is a `hidden beast` number, since 4 + 421 + 8 + 3 + 137 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442183137984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457272669 + ... + 457273635.

Almost surely, 2^442183137984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442183137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785531535360).

442183137984 is an abundant number, since it is smaller than the sum of its proper divisors (1128879932736).

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

442183137984 is a wasteful number, since it uses less digits than its factorization.

442183137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1172 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 442183137984 in words is "four hundred forty-two billion, one hundred eighty-three million, one hundred thirty-seven thousand, nine hundred eighty-four".