442240122604020 has 768 divisors, whose sum is σ = 1432741929615360. Its totient is φ = 100959436800000.

The previous prime is 442240122604019. The next prime is 442240122604043. The reversal of 442240122604020 is 20406221042244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 368226579420 + ... + 368226580620.

It is an arithmetic number, because the mean of its divisors is an integer number (1865549387520).

Almost surely, 2^{442240122604020} 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 442240122604020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716370964807680).

442240122604020 is an abundant number, since it is smaller than the sum of its proper divisors (990501807011340).

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

442240122604020 is a wasteful number, since it uses less digits than its factorization.

442240122604020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 442240122604020 its reverse (20406221042244), we get a palindrome (462646343646264).

The spelling of 442240122604020 in words is "four hundred forty-two trillion, two hundred forty billion, one hundred twenty-two million, six hundred four thousand, twenty".