4021442443242 has 192 divisors, whose sum is σ = 10599249862656. Its totient is φ = 1077791495040.

The previous prime is 4021442443241. The next prime is 4021442443301. The reversal of 4021442443242 is 2423442441204.

4021442443242 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 2 + 4 + 432 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4021442443197 and 4021442443206.

It is not an unprimeable number, because it can be changed into a prime (4021442443241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17065473 + ... + 17299515.

It is an arithmetic number, because the mean of its divisors is an integer number (55204426368).

Almost surely, 2^{4021442443242} is an apocalyptic number.

4021442443242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021442443242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299624931328).

4021442443242 is an abundant number, since it is smaller than the sum of its proper divisors (6577807419414).

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

4021442443242 is a wasteful number, since it uses less digits than its factorization.

4021442443242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234225 (or 234222 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4021442443242 its reverse (2423442441204), we get a palindrome (6444884884446).

The spelling of 4021442443242 in words is "four trillion, twenty-one billion, four hundred forty-two million, four hundred forty-three thousand, two hundred forty-two".