4004000112200 has 192 divisors, whose sum is σ = 10623894491520. Its totient is φ = 1389180672000.

The previous prime is 4004000112169. The next prime is 4004000112241. The reversal of 4004000112200 is 22110004004.

It is a super-2 number, since 2×4004000112200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19988540 + ... + 20187860.

It is an arithmetic number, because the mean of its divisors is an integer number (55332783810).

Almost surely, 2^{4004000112200} is an apocalyptic number.

4004000112200 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 4004000112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311947245760).

4004000112200 is an abundant number, since it is smaller than the sum of its proper divisors (6619894379320).

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

4004000112200 is a wasteful number, since it uses less digits than its factorization.

4004000112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199768 (or 199759 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 4004000112200 its reverse (22110004004), we get a palindrome (4026110116204).

The spelling of 4004000112200 in words is "four trillion, four billion, one hundred twelve thousand, two hundred".