10414142200 has 192 divisors, whose sum is σ = 31964025600. Its totient is φ = 3054950400.

The previous prime is 10414142159. The next prime is 10414142203. The reversal of 10414142200 is 224141401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414142203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 241911 + ... + 281689.

It is an arithmetic number, because the mean of its divisors is an integer number (166479300).

Almost surely, 2^10414142200 is an apocalyptic number.

10414142200 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 10414142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982012800).

10414142200 is an abundant number, since it is smaller than the sum of its proper divisors (21549883400).

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

10414142200 is a wasteful number, since it uses less digits than its factorization.

10414142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39830 (or 39821 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10414142200 its reverse (224141401), we get a palindrome (10638283601).

The spelling of 10414142200 in words is "ten billion, four hundred fourteen million, one hundred forty-two thousand, two hundred".