242421958195200 has 3456 divisors, whose sum is σ = 1052312547686400. Its totient is φ = 52171112448000.

The previous prime is 242421958195163. The next prime is 242421958195217. The reversal of 242421958195200 is 2591859124242.

It is a happy number.

242421958195200 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 2 + 1 + 9 + 581 + 9 + 52 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 894545971065 + ... + 894545971335.

It is an arithmetic number, because the mean of its divisors is an integer number (304488584400).

Almost surely, 2^{242421958195200} is an apocalyptic number.

242421958195200 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 242421958195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526156273843200).

242421958195200 is an abundant number, since it is smaller than the sum of its proper divisors (809890589491200).

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

242421958195200 is a wasteful number, since it uses less digits than its factorization.

242421958195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 242421958195200 in words is "two hundred forty-two trillion, four hundred twenty-one billion, nine hundred fifty-eight million, one hundred ninety-five thousand, two hundred".