10432440200 has 192 divisors, whose sum is σ = 31425072000. Its totient is φ = 3127818240.

The previous prime is 10432440197. The next prime is 10432440209. The reversal of 10432440200 is 204423401.

10432440200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10432440209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330716 + ... + 360884.

It is an arithmetic number, because the mean of its divisors is an integer number (163672250).

Almost surely, 2^10432440200 is an apocalyptic number.

10432440200 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 10432440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712536000).

10432440200 is an abundant number, since it is smaller than the sum of its proper divisors (20992631800).

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

10432440200 is a wasteful number, since it uses less digits than its factorization.

10432440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30224 (or 30215 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10432440200 its reverse (204423401), we get a palindrome (10636863601).

The spelling of 10432440200 in words is "ten billion, four hundred thirty-two million, four hundred forty thousand, two hundred".