242141632700 has 144 divisors (see below), whose sum is σ = 576964321920. Its totient is φ = 87477600000.

The previous prime is 242141632697. The next prime is 242141632757. The reversal of 242141632700 is 7236141242.

242141632700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140534039 + ... + 140535761.

It is an arithmetic number, because the mean of its divisors is an integer number (4006696680).

Almost surely, 2^242141632700 is an apocalyptic number.

242141632700 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 242141632700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288482160960).

242141632700 is an abundant number, since it is smaller than the sum of its proper divisors (334822689220).

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

242141632700 is a wasteful number, since it uses less digits than its factorization.

242141632700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 242141632700 its reverse (7236141242), we get a palindrome (249377773942).

The spelling of 242141632700 in words is "two hundred forty-two billion, one hundred forty-one million, six hundred thirty-two thousand, seven hundred".