442206595404 has 432 divisors, whose sum is σ = 1418470050816. Its totient is φ = 119940912000.

The previous prime is 442206595393. The next prime is 442206595471. The reversal of 442206595404 is 404595602244.

It is a happy number.

442206595404 is a `hidden beast` number, since 4 + 42 + 2 + 0 + 65 + 9 + 540 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 442206595404.

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 143 ways as a sum of consecutive naturals, for example, 78249979 + ... + 78255629.

It is an arithmetic number, because the mean of its divisors is an integer number (3283495488).

Almost surely, 2^442206595404 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 442206595404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709235025408).

442206595404 is an abundant number, since it is smaller than the sum of its proper divisors (976263455412).

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

442206595404 is a wasteful number, since it uses less digits than its factorization.

442206595404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 442206595404 in words is "four hundred forty-two billion, two hundred six million, five hundred ninety-five thousand, four hundred four".