10414223200 has 72 divisors (see below), whose sum is σ = 25781943600. Its totient is φ = 4106995200.

The previous prime is 10414223177. The next prime is 10414223207. The reversal of 10414223200 is 232241401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414223207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34875 + ... + 148474.

It is an arithmetic number, because the mean of its divisors is an integer number (358082550).

Almost surely, 2^10414223200 is an apocalyptic number.

10414223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414223200 is an abundant number, since it is smaller than the sum of its proper divisors (15367720400).

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

10414223200 is a wasteful number, since it uses less digits than its factorization.

10414223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183440 (or 183427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10414223200 its reverse (232241401), we get a palindrome (10646464601).

The spelling of 10414223200 in words is "ten billion, four hundred fourteen million, two hundred twenty-three thousand, two hundred".