242423755200 has 672 divisors, whose sum is σ = 973800887040. Its totient is φ = 58176000000.

The previous prime is 242423755163. The next prime is 242423755229. The reversal of 242423755200 is 2557324242.

242423755200 is a `hidden beast` number, since 2 + 42 + 4 + 23 + 75 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 47992675 + ... + 47997725.

Almost surely, 2^242423755200 is an apocalyptic number.

242423755200 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 242423755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486900443520).

242423755200 is an abundant number, since it is smaller than the sum of its proper divisors (731377131840).

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

242423755200 is a wasteful number, since it uses less digits than its factorization.

242423755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 242423755200 in words is "two hundred forty-two billion, four hundred twenty-three million, seven hundred fifty-five thousand, two hundred".