10414323200 has 120 divisors (see below), whose sum is σ = 25956963648. Its totient is φ = 4140769280.

The previous prime is 10414323191. The next prime is 10414323221. The reversal of 10414323200 is 232341401.

10414323200 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 a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2212049 + ... + 2216751.

Almost surely, 2^10414323200 is an apocalyptic number.

10414323200 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 10414323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978481824).

10414323200 is an abundant number, since it is smaller than the sum of its proper divisors (15542640448).

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

10414323200 is an equidigital number, since it uses as much as digits as its factorization.

10414323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10414323200 its reverse (232341401), we get a palindrome (10646664601).

The spelling of 10414323200 in words is "ten billion, four hundred fourteen million, three hundred twenty-three thousand, two hundred".