4022002000242 has 80 divisors (see below), whose sum is σ = 9234189535032. Its totient is φ = 1307668561920.

The previous prime is 4022002000223. The next prime is 4022002000243. The reversal of 4022002000242 is 2420002002204.

4022002000242 is a `hidden beast` number, since 4 + 0 + 220 + 0 + 200 + 0 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2047271627241 + 1974730373001 = 1430829^2 + 1405251^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4022002000243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29908258 + ... + 30042434.

Almost surely, 2^{4022002000242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022002000242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617094767516).

4022002000242 is an abundant number, since it is smaller than the sum of its proper divisors (5212187534790).

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

4022002000242 is a wasteful number, since it uses less digits than its factorization.

4022002000242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138745 (or 138736 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 4022002000242 its reverse (2420002002204), we get a palindrome (6442004002446).

The spelling of 4022002000242 in words is "four trillion, twenty-two billion, two million, two hundred forty-two", and thus it is an aban number.