442050048000 has 2496 divisors, whose sum is σ = 2009308654080. Its totient is φ = 95551488000.

The previous prime is 442050047963. The next prime is 442050048007. The reversal of 442050048000 is 840050244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442050048007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23265791991 + ... + 23265792009.

It is an arithmetic number, because the mean of its divisors is an integer number (805011480).

Almost surely, 2^442050048000 is an apocalyptic number.

442050048000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442050048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004654327040).

442050048000 is an abundant number, since it is smaller than the sum of its proper divisors (1567258606080).

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

442050048000 is a wasteful number, since it uses less digits than its factorization.

442050048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 442050048000 its reverse (840050244), we get a palindrome (442890098244).

The spelling of 442050048000 in words is "four hundred forty-two billion, fifty million, forty-eight thousand".