242067456543000 has 256 divisors, whose sum is σ = 831908731530240. Its totient is φ = 58113280896000.

The previous prime is 242067456542993. The next prime is 242067456543001. The reversal of 242067456543000 is 345654760242.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242067456543001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32209629 + ... + 39007628.

It is an arithmetic number, because the mean of its divisors is an integer number (3249643482540).

Almost surely, 2^{242067456543000} is an apocalyptic number.

242067456543000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242067456543000 is an abundant number, since it is smaller than the sum of its proper divisors (589841274987240).

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

242067456543000 is a wasteful number, since it uses less digits than its factorization.

242067456543000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71217395 (or 71217381 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 242067456543000 in words is "two hundred forty-two trillion, sixty-seven billion, four hundred fifty-six million, five hundred forty-three thousand".