242675413850880 has 216 divisors, whose sum is σ = 866716546550400. Its totient is φ = 62625913159680.

The previous prime is 242675413850869. The next prime is 242675413850893. The reversal of 242675413850880 is 88058314576242.

242675413850880 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 7 + 5 + 41 + 3 + 8 + 508 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339410205 + ... + 340124444.

It is an arithmetic number, because the mean of its divisors is an integer number (4012576604400).

Almost surely, 2^{242675413850880} is an apocalyptic number.

242675413850880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242675413850880 is an abundant number, since it is smaller than the sum of its proper divisors (624041132699520).

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

242675413850880 is a wasteful number, since it uses less digits than its factorization.

242675413850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679534707 (or 679534690 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 242675413850880 in words is "two hundred forty-two trillion, six hundred seventy-five billion, four hundred thirteen million, eight hundred fifty thousand, eight hundred eighty".