242030934642000 has 1280 divisors, whose sum is σ = 927350840033280. Its totient is φ = 53135631360000.

The previous prime is 242030934641999. The next prime is 242030934642001. The reversal of 242030934642000 is 246439030242.

It is an interprime number because it is at equal distance from previous prime (242030934641999) and next prime (242030934642001).

It is a self number, because there is not a number n which added to its sum of digits gives 242030934642000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242030934642001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 345265241650 + ... + 345265242350.

It is an arithmetic number, because the mean of its divisors is an integer number (724492843776).

Almost surely, 2^{242030934642000} is an apocalyptic number.

242030934642000 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 242030934642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463675420016640).

242030934642000 is an abundant number, since it is smaller than the sum of its proper divisors (685319905391280).

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

242030934642000 is a wasteful number, since it uses less digits than its factorization.

242030934642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 242030934642000 in words is "two hundred forty-two trillion, thirty billion, nine hundred thirty-four million, six hundred forty-two thousand".