442039285748832 has 192 divisors, whose sum is σ = 1275147802091520. Its totient is φ = 133457415657984.

The previous prime is 442039285748807. The next prime is 442039285748867. The reversal of 442039285748832 is 238847582930244.

It is a Harshad number since it is a multiple of its sum of digits (69).

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 31 ways as a sum of consecutive naturals, for example, 83993223 + ... + 89100729.

It is an arithmetic number, because the mean of its divisors is an integer number (6641394802560).

Almost surely, 2^{442039285748832} 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 442039285748832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637573901045760).

442039285748832 is an abundant number, since it is smaller than the sum of its proper divisors (833108516342688).

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

442039285748832 is a wasteful number, since it uses less digits than its factorization.

442039285748832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109625 (or 5109617 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 69.

The spelling of 442039285748832 in words is "four hundred forty-two trillion, thirty-nine billion, two hundred eighty-five million, seven hundred forty-eight thousand, eight hundred thirty-two".