442703255680 has 192 divisors, whose sum is σ = 1247998472280. Its totient is φ = 149703966720.

The previous prime is 442703255671. The next prime is 442703255699. The reversal of 442703255680 is 86552307244.

It can be written as a sum of positive squares in 4 ways, for example, as 373340552256 + 69362703424 = 611016^2 + 263368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 442703255680.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2192590 + ... + 2385970.

Almost surely, 2^442703255680 is an apocalyptic number.

442703255680 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 442703255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623999236140).

442703255680 is an abundant number, since it is smaller than the sum of its proper divisors (805295216600).

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

442703255680 is a wasteful number, since it uses less digits than its factorization.

442703255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193487 (or 193468 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 442703255680 in words is "four hundred forty-two billion, seven hundred three million, two hundred fifty-five thousand, six hundred eighty".