442660128768000 has 7680 divisors, whose sum is σ = 2114604556646400. Its totient is φ = 89690996736000.

The previous prime is 442660128767993. The next prime is 442660128768029. The reversal of 442660128768000 is 867821066244.

It is a happy number.

442660128768000 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 601 + 28 + 7 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4973709311956 + ... + 4973709312044.

It is an arithmetic number, because the mean of its divisors is an integer number (275339134980).

Almost surely, 2^{442660128768000} is an apocalyptic number.

442660128768000 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 442660128768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057302278323200).

442660128768000 is an abundant number, since it is smaller than the sum of its proper divisors (1671944427878400).

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

442660128768000 is a wasteful number, since it uses less digits than its factorization.

442660128768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 442660128768000 in words is "four hundred forty-two trillion, six hundred sixty billion, one hundred twenty-eight million, seven hundred sixty-eight thousand".