242402371200 has 384 divisors, whose sum is σ = 967776897600. Its totient is φ = 58763980800.

The previous prime is 242402371181. The next prime is 242402371207. The reversal of 242402371200 is 2173204242.

242402371200 is a `hidden beast` number, since 2 + 424 + 0 + 2 + 37 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242402371207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822874 + ... + 1077926.

Almost surely, 2^242402371200 is an apocalyptic number.

242402371200 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 242402371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483888448800).

242402371200 is an abundant number, since it is smaller than the sum of its proper divisors (725374526400).

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

242402371200 is a wasteful number, since it uses less digits than its factorization.

242402371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255097 (or 255074 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 242402371200 its reverse (2173204242), we get a palindrome (244575575442).

The spelling of 242402371200 in words is "two hundred forty-two billion, four hundred two million, three hundred seventy-one thousand, two hundred".