442398873600 has 432 divisors, whose sum is σ = 1588036249800. Its totient is φ = 117701345280.

The previous prime is 442398873583. The next prime is 442398873641. The reversal of 442398873600 is 6378893244.

442398873600 is a `hidden beast` number, since 4 + 4 + 23 + 9 + 8 + 8 + 7 + 3 + 600 = 666.

It is a super-4 number, since 4×442398873600⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273253591 + ... + 273255209.

Almost surely, 2^442398873600 is an apocalyptic number.

442398873600 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 442398873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794018124900).

442398873600 is an abundant number, since it is smaller than the sum of its proper divisors (1145637376200).

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

442398873600 is a wasteful number, since it uses less digits than its factorization.

442398873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 442398873600 in words is "four hundred forty-two billion, three hundred ninety-eight million, eight hundred seventy-three thousand, six hundred".