442199983104 has 1056 divisors, whose sum is σ = 1580604969600. Its totient is φ = 120677990400.

The previous prime is 442199983103. The next prime is 442199983133. The reversal of 442199983104 is 401389991244.

442199983104 is a `hidden beast` number, since 442 + 1 + 9 + 9 + 98 + 3 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442199983103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4968539092 + ... + 4968539180.

Almost surely, 2^442199983104 is an apocalyptic number.

442199983104 is a gapful number since it is divisible by the number (44) 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 442199983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790302484800).

442199983104 is an abundant number, since it is smaller than the sum of its proper divisors (1138404986496).

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

442199983104 is a wasteful number, since it uses less digits than its factorization.

442199983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 442199983104 in words is "four hundred forty-two billion, one hundred ninety-nine million, nine hundred eighty-three thousand, one hundred four".