442678984704 has 480 divisors, whose sum is σ = 1480648982400. Its totient is φ = 129478164480.

The previous prime is 442678984703. The next prime is 442678984723. The reversal of 442678984704 is 407489876244.

442678984704 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 78 + 98 + 470 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442678984703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141113824 + ... + 141116960.

It is an arithmetic number, because the mean of its divisors is an integer number (3084685380).

Almost surely, 2^442678984704 is an apocalyptic number.

442678984704 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 442678984704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740324491200).

442678984704 is an abundant number, since it is smaller than the sum of its proper divisors (1037969997696).

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

442678984704 is a wasteful number, since it uses less digits than its factorization.

442678984704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 442678984704 in words is "four hundred forty-two billion, six hundred seventy-eight million, nine hundred eighty-four thousand, seven hundred four".