10041334200 has 144 divisors (see below), whose sum is σ = 34506649320. Its totient is φ = 2615397120.

The previous prime is 10041334169. The next prime is 10041334211. The reversal of 10041334200 is 243314001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12534 + ... + 142266.

Almost surely, 2^10041334200 is an apocalyptic number.

10041334200 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 10041334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253324660).

10041334200 is an abundant number, since it is smaller than the sum of its proper divisors (24465315120).

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

10041334200 is a wasteful number, since it uses less digits than its factorization.

10041334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129798 (or 129786 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10041334200 its reverse (243314001), we get a palindrome (10284648201).

The spelling of 10041334200 in words is "ten billion, forty-one million, three hundred thirty-four thousand, two hundred".