4022002000002 has 256 divisors, whose sum is σ = 10003766353920. Its totient is φ = 1052739072000.

The previous prime is 4022002000001. The next prime is 4022002000013. The reversal of 4022002000002 is 2000002002204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4022002000001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3348877002 + ... + 3348878202.

It is an arithmetic number, because the mean of its divisors is an integer number (39077212320).

Almost surely, 2^{4022002000002} is an apocalyptic number.

4022002000002 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 4022002000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001883176960).

4022002000002 is an abundant number, since it is smaller than the sum of its proper divisors (5981764353918).

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

4022002000002 is a wasteful number, since it uses less digits than its factorization.

4022002000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129.

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 4022002000002 its reverse (2000002002204), we get a palindrome (6022004002206).

The spelling of 4022002000002 in words is "four trillion, twenty-two billion, two million, two", and thus it is an aban number.