242843832000 has 2240 divisors, whose sum is σ = 1163568586752. Its totient is φ = 48522240000.

The previous prime is 242843831999. The next prime is 242843832043. The reversal of 242843832000 is 238348242.

It is a happy number.

242843832000 is a `hidden beast` number, since 24 + 284 + 38 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1546775922 + ... + 1546776078.

Almost surely, 2^242843832000 is an apocalyptic number.

242843832000 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 242843832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581784293376).

242843832000 is an abundant number, since it is smaller than the sum of its proper divisors (920724754752).

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

242843832000 is a wasteful number, since it uses less digits than its factorization.

242843832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 242843832000 in words is "two hundred forty-two billion, eight hundred forty-three million, eight hundred thirty-two thousand".