442985855068800 has 288 divisors, whose sum is σ = 1581707652058560. Its totient is φ = 118052391168000.

The previous prime is 442985855068787. The next prime is 442985855068879. The reversal of 442985855068800 is 8860558589244.

442985855068800 is a `hidden beast` number, since 4 + 4 + 2 + 9 + 8 + 5 + 8 + 550 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39069465 + ... + 49116135.

Almost surely, 2^{442985855068800} is an apocalyptic number.

442985855068800 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 442985855068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790853826029280).

442985855068800 is an abundant number, since it is smaller than the sum of its proper divisors (1138721796989760).

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

442985855068800 is a wasteful number, since it uses less digits than its factorization.

442985855068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048232 (or 10048212 counting only the distinct ones).

The product of its (nonzero) digits is 884736000, while the sum is 72.

The spelling of 442985855068800 in words is "four hundred forty-two trillion, nine hundred eighty-five billion, eight hundred fifty-five million, sixty-eight thousand, eight hundred".