442301278798080 has 1728 divisors, whose sum is σ = 1769705362833408. Its totient is φ = 101027933061120.

The previous prime is 442301278798051. The next prime is 442301278798081. The reversal of 442301278798080 is 80897872103244.

442301278798080 is a `hidden beast` number, since 4 + 42 + 301 + 2 + 78 + 79 + 80 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 442301278797999 and 442301278798017.

It is not an unprimeable number, because it can be changed into a prime (442301278798081) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 52361932417 + ... + 52361940863.

It is an arithmetic number, because the mean of its divisors is an integer number (1024135047936).

Almost surely, 2^{442301278798080} is an apocalyptic number.

442301278798080 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 442301278798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884852681416704).

442301278798080 is an abundant number, since it is smaller than the sum of its proper divisors (1327404084035328).

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

442301278798080 is a wasteful number, since it uses less digits than its factorization.

442301278798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 442301278798080 in words is "four hundred forty-two trillion, three hundred one billion, two hundred seventy-eight million, seven hundred ninety-eight thousand, eighty".