442052404032 has 112 divisors (see below), whose sum is σ = 1214537974272. Its totient is φ = 141787422720.

The previous prime is 442052404009. The next prime is 442052404049. The reversal of 442052404032 is 230404250244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190033 + ... + 959279.

It is an arithmetic number, because the mean of its divisors is an integer number (10844089056).

Almost surely, 2^442052404032 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 442052404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607268987136).

442052404032 is an abundant number, since it is smaller than the sum of its proper divisors (772485570240).

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

442052404032 is a wasteful number, since it uses less digits than its factorization.

442052404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769376 (or 769366 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 442052404032 its reverse (230404250244), we get a palindrome (672456654276).

The spelling of 442052404032 in words is "four hundred forty-two billion, fifty-two million, four hundred four thousand, thirty-two".