442193577984 has 144 divisors (see below), whose sum is σ = 1278662112000. Its totient is φ = 147221766144.

The previous prime is 442193577949. The next prime is 442193578037. The reversal of 442193577984 is 489775391244.

442193577984 is a `hidden beast` number, since 4 + 42 + 19 + 3 + 577 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15892917 + ... + 15920715.

It is an arithmetic number, because the mean of its divisors is an integer number (8879598000).

Almost surely, 2^442193577984 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 442193577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639331056000).

442193577984 is an abundant number, since it is smaller than the sum of its proper divisors (836468534016).

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

442193577984 is a wasteful number, since it uses less digits than its factorization.

442193577984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28690 (or 28667 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 442193577984 in words is "four hundred forty-two billion, one hundred ninety-three million, five hundred seventy-seven thousand, nine hundred eighty-four".