242142044200 has 96 divisors (see below), whose sum is σ = 644258764800. Its totient is φ = 82910096640.

The previous prime is 242142044191. The next prime is 242142044219. The reversal of 242142044200 is 2440241242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945561 + ... + 1174039.

It is an arithmetic number, because the mean of its divisors is an integer number (6711028800).

Almost surely, 2^242142044200 is an apocalyptic number.

242142044200 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 242142044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322129382400).

242142044200 is an abundant number, since it is smaller than the sum of its proper divisors (402116720600).

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

242142044200 is a wasteful number, since it uses less digits than its factorization.

242142044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229259 (or 229250 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 242142044200 its reverse (2440241242), we get a palindrome (244582285442).

The spelling of 242142044200 in words is "two hundred forty-two billion, one hundred forty-two million, forty-four thousand, two hundred".