442422420440 has 192 divisors, whose sum is σ = 1346675561280. Its totient is φ = 127290240000.

The previous prime is 442422420379. The next prime is 442422420511. The reversal of 442422420440 is 44024224244.

It is a junction number, because it is equal to n+sod(n) for n = 442422420397 and 442422420406.

It is a congruent number.

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, 61811 + ... + 942690.

It is an arithmetic number, because the mean of its divisors is an integer number (7013935215).

Almost surely, 2^442422420440 is an apocalyptic number.

442422420440 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 442422420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673337780640).

442422420440 is an abundant number, since it is smaller than the sum of its proper divisors (904253140840).

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

442422420440 is a wasteful number, since it uses less digits than its factorization.

442422420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004554 (or 1004539 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 442422420440 its reverse (44024224244), we get a palindrome (486446644684).

It can be divided in two parts, 4424224204 and 40, that added together give a palindrome (4424224244).

The spelling of 442422420440 in words is "four hundred forty-two billion, four hundred twenty-two million, four hundred twenty thousand, four hundred forty".