442350823680 has 432 divisors, whose sum is σ = 1625930901504. Its totient is φ = 115079823360.

The previous prime is 442350823669. The next prime is 442350823693. The reversal of 442350823680 is 86328053244.

442350823680 is a `hidden beast` number, since 4 + 42 + 3 + 508 + 23 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 12735297 + ... + 12769983.

Almost surely, 2^442350823680 is an apocalyptic number.

442350823680 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 442350823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812965450752).

442350823680 is an abundant number, since it is smaller than the sum of its proper divisors (1183580077824).

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

442350823680 is an equidigital number, since it uses as much as digits as its factorization.

442350823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34764 (or 34738 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 442350823680 in words is "four hundred forty-two billion, three hundred fifty million, eight hundred twenty-three thousand, six hundred eighty".