242143420200 has 384 divisors, whose sum is σ = 872314168320. Its totient is φ = 54913331200.

The previous prime is 242143420171. The next prime is 242143420223. The reversal of 242143420200 is 2024341242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18730939 + ... + 18743861.

It is an arithmetic number, because the mean of its divisors is an integer number (2271651480).

Almost surely, 2^242143420200 is an apocalyptic number.

242143420200 is a gapful number since it is divisible by the number (20) 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 242143420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436157084160).

242143420200 is an abundant number, since it is smaller than the sum of its proper divisors (630170748120).

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

242143420200 is a wasteful number, since it uses less digits than its factorization.

242143420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13137 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242143420200 its reverse (2024341242), we get a palindrome (244167761442).

The spelling of 242143420200 in words is "two hundred forty-two billion, one hundred forty-three million, four hundred twenty thousand, two hundred".