242378062948800 has 1680 divisors, whose sum is σ = 949158839946240. Its totient is φ = 60496105512960.

The previous prime is 242378062948799. The next prime is 242378062948841. The reversal of 242378062948800 is 8849260873242.

242378062948800 is a `hidden beast` number, since 2 + 4 + 23 + 78 + 0 + 62 + 9 + 488 + 0 + 0 = 666.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 71141196697 + ... + 71141200103.

It is an arithmetic number, because the mean of its divisors is an integer number (564975499968).

Almost surely, 2^{242378062948800} is an apocalyptic number.

242378062948800 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 242378062948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474579419973120).

242378062948800 is an abundant number, since it is smaller than the sum of its proper divisors (706780776997440).

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

242378062948800 is a wasteful number, since it uses less digits than its factorization.

242378062948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 242378062948800 in words is "two hundred forty-two trillion, three hundred seventy-eight billion, sixty-two million, nine hundred forty-eight thousand, eight hundred".