442440222020004 has 96 divisors (see below), whose sum is σ = 1115147927560576. Its totient is φ = 135722235156480.

The previous prime is 442440222019987. The next prime is 442440222020009. The reversal of 442440222020004 is 400020222044244.

It is a happy number.

It is a super-2 number, since 2×442440222020004² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442440222020009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 791507499 + ... + 792066285.

Almost surely, 2^{442440222020004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442440222020004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557573963780288).

442440222020004 is an abundant number, since it is smaller than the sum of its proper divisors (672707705540572).

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

442440222020004 is a wasteful number, since it uses less digits than its factorization.

442440222020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574205 (or 574203 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 442440222020004 its reverse (400020222044244), we get a palindrome (842460444064248).

The spelling of 442440222020004 in words is "four hundred forty-two trillion, four hundred forty billion, two hundred twenty-two million, twenty thousand, four".