4100124440200 has 288 divisors, whose sum is σ = 10259064092160. Its totient is φ = 1523478528000.

The previous prime is 4100124440179. The next prime is 4100124440213. The reversal of 4100124440200 is 20444210014.

It is a super-2 number, since 2×4100124440200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2101549225 + ... + 2101551175.

It is an arithmetic number, because the mean of its divisors is an integer number (35621750320).

Almost surely, 2^{4100124440200} is an apocalyptic number.

4100124440200 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 4100124440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129532046080).

4100124440200 is an abundant number, since it is smaller than the sum of its proper divisors (6158939651960).

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

4100124440200 is a wasteful number, since it uses less digits than its factorization.

4100124440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 4100124440200 its reverse (20444210014), we get a palindrome (4120568650214).

The spelling of 4100124440200 in words is "four trillion, one hundred billion, one hundred twenty-four million, four hundred forty thousand, two hundred".