242243928000 has 336 divisors, whose sum is σ = 867619625184. Its totient is φ = 64518451200.

The previous prime is 242243927953. The next prime is 242243928041. The reversal of 242243928000 is 829342242.

242243928000 is a `hidden beast` number, since 242 + 24 + 392 + 8 + 0 + 0 + 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78982467 + ... + 78985533.

Almost surely, 2^242243928000 is an apocalyptic number.

242243928000 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 242243928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433809812592).

242243928000 is an abundant number, since it is smaller than the sum of its proper divisors (625375697184).

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

242243928000 is a wasteful number, since it uses less digits than its factorization.

242243928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 242243928000 in words is "two hundred forty-two billion, two hundred forty-three million, nine hundred twenty-eight thousand".