442040440202242 has 256 divisors, whose sum is σ = 840711168589824. Its totient is φ = 169978093056000.

The previous prime is 442040440202209. The next prime is 442040440202243. The reversal of 442040440202242 is 242202044040244.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 442040440202198 and 442040440202207.

It is not an unprimeable number, because it can be changed into a prime (442040440202243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65188086892 + ... + 65188093672.

It is an arithmetic number, because the mean of its divisors is an integer number (3284028002304).

Almost surely, 2^{442040440202242} is an apocalyptic number.

442040440202242 is a deficient number, since it is larger than the sum of its proper divisors (398670728387582).

442040440202242 is a wasteful number, since it uses less digits than its factorization.

442040440202242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473.

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 442040440202242 its reverse (242202044040244), we get a palindrome (684242484242486).

The spelling of 442040440202242 in words is "four hundred forty-two trillion, forty billion, four hundred forty million, two hundred two thousand, two hundred forty-two".