4000202202200 has 96 divisors (see below), whose sum is σ = 9386661715200. Its totient is φ = 1585314714240.

The previous prime is 4000202202187. The next prime is 4000202202223. The reversal of 4000202202200 is 22022020004.

4000202202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10058741 + ... + 10448859.

It is an arithmetic number, because the mean of its divisors is an integer number (97777726200).

Almost surely, 2^{4000202202200} is an apocalyptic number.

4000202202200 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 4000202202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693330857600).

4000202202200 is an abundant number, since it is smaller than the sum of its proper divisors (5386459513000).

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

4000202202200 is a wasteful number, since it uses less digits than its factorization.

4000202202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390609 (or 390600 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 4000202202200 its reverse (22022020004), we get a palindrome (4022224222204).

The spelling of 4000202202200 in words is "four trillion, two hundred two million, two hundred two thousand, two hundred".