10041440200 has 96 divisors (see below), whose sum is σ = 25721478720. Its totient is φ = 3615200000.

The previous prime is 10041440177. The next prime is 10041440221. The reversal of 10041440200 is 204414001.

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, 199605 + ... + 244795.

It is an arithmetic number, because the mean of its divisors is an integer number (267932070).

Almost surely, 2^10041440200 is an apocalyptic number.

10041440200 is a gapful number since it is divisible by the number (10) 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 10041440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860739360).

10041440200 is an abundant number, since it is smaller than the sum of its proper divisors (15680038520).

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

10041440200 is a wasteful number, since it uses less digits than its factorization.

10041440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45319 (or 45310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10041440200 its reverse (204414001), we get a palindrome (10245854201).

It can be divided in two parts, 10041 and 440200, that added together give a square (450241 = 671²).

The spelling of 10041440200 in words is "ten billion, forty-one million, four hundred forty thousand, two hundred".