10004430200 has 24 divisors (see below), whose sum is σ = 23260300680. Its totient is φ = 4001772000.

The previous prime is 10004430187. The next prime is 10004430257. The reversal of 10004430200 is 203440001.

It is a super-3 number, since 3×10004430200³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25010876 + ... + 25011275.

It is an arithmetic number, because the mean of its divisors is an integer number (969179195).

Almost surely, 2^10004430200 is an apocalyptic number.

10004430200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004430200 is an abundant number, since it is smaller than the sum of its proper divisors (13255870480).

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

10004430200 is a wasteful number, since it uses less digits than its factorization.

10004430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50022167 (or 50022158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10004430200 its reverse (203440001), we get a palindrome (10207870201).

The spelling of 10004430200 in words is "ten billion, four million, four hundred thirty thousand, two hundred".