242803143819720 has 512 divisors, whose sum is σ = 914847193152000. Its totient is φ = 56739506503680.

The previous prime is 242803143819701. The next prime is 242803143819791. The reversal of 242803143819720 is 27918341308242.

242803143819720 is a `hidden beast` number, since 2 + 4 + 280 + 314 + 38 + 19 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 211997724 + ... + 213139956.

It is an arithmetic number, because the mean of its divisors is an integer number (1786810924125).

Almost surely, 2^{242803143819720} is an apocalyptic number.

242803143819720 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 242803143819720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457423596576000).

242803143819720 is an abundant number, since it is smaller than the sum of its proper divisors (672044049332280).

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

242803143819720 is a wasteful number, since it uses less digits than its factorization.

242803143819720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142910 (or 1142900 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 242803143819720 in words is "two hundred forty-two trillion, eight hundred three billion, one hundred forty-three million, eight hundred nineteen thousand, seven hundred twenty".