442131140646 has 192 divisors, whose sum is σ = 1114735527360. Its totient is φ = 125504640000.

The previous prime is 442131140603. The next prime is 442131140657. The reversal of 442131140646 is 646041131244.

442131140646 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 3 + 1 + 1 + 4 + 0 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 442131140646.

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 95 ways as a sum of consecutive naturals, for example, 27383736 + ... + 27399876.

It is an arithmetic number, because the mean of its divisors is an integer number (5805914205).

Almost surely, 2^442131140646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442131140646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557367763680).

442131140646 is an abundant number, since it is smaller than the sum of its proper divisors (672604386714).

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

442131140646 is a wasteful number, since it uses less digits than its factorization.

442131140646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16343 (or 16340 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 442131140646 in words is "four hundred forty-two billion, one hundred thirty-one million, one hundred forty thousand, six hundred forty-six".