4022002000800 has 432 divisors, whose sum is σ = 16233851716992. Its totient is φ = 917886412800.

The previous prime is 4022002000771. The next prime is 4022002000801. The reversal of 4022002000800 is 80002002204.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4022002000801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32547130 + ... + 32670470.

It is an arithmetic number, because the mean of its divisors is an integer number (37578360456).

Almost surely, 2^{4022002000800} is an apocalyptic number.

4022002000800 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 4022002000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116925858496).

4022002000800 is an abundant number, since it is smaller than the sum of its proper divisors (12211849716192).

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

4022002000800 is a wasteful number, since it uses less digits than its factorization.

4022002000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124021 (or 124005 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 4022002000800 in words is "four trillion, twenty-two billion, two million, eight hundred", and thus it is an aban number.