142410430200 has 384 divisors, whose sum is σ = 471810873600. Its totient is φ = 35432017920.

The previous prime is 142410430171. The next prime is 142410430231. The reversal of 142410430200 is 2034014241.

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 95 ways as a sum of consecutive naturals, for example, 381797214 + ... + 381797586.

It is an arithmetic number, because the mean of its divisors is an integer number (1228674150).

Almost surely, 2^142410430200 is an apocalyptic number.

142410430200 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 142410430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235905436800).

142410430200 is an abundant number, since it is smaller than the sum of its proper divisors (329400443400).

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

142410430200 is a wasteful number, since it uses less digits than its factorization.

142410430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 822 counting only the distinct ones).

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

Adding to 142410430200 its reverse (2034014241), we get a palindrome (144444444441).

The spelling of 142410430200 in words is "one hundred forty-two billion, four hundred ten million, four hundred thirty thousand, two hundred".