10414423200 has 72 divisors (see below), whose sum is σ = 33898955328. Its totient is φ = 2777178880.

The previous prime is 10414423183. The next prime is 10414423237. The reversal of 10414423200 is 232441401.

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 11 ways as a sum of consecutive naturals, for example, 2167272 + ... + 2172071.

It is an arithmetic number, because the mean of its divisors is an integer number (470818824).

Almost surely, 2^10414423200 is an apocalyptic number.

10414423200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414423200 is an abundant number, since it is smaller than the sum of its proper divisors (23484532128).

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

10414423200 is a wasteful number, since it uses less digits than its factorization.

10414423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339366 (or 4339353 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10414423200 its reverse (232441401), we get a palindrome (10646864601).

The spelling of 10414423200 in words is "ten billion, four hundred fourteen million, four hundred twenty-three thousand, two hundred".