242421317959680 has 1360 divisors, whose sum is σ = 968711430883680. Its totient is φ = 57638695993344.

The previous prime is 242421317959669. The next prime is 242421317959693. The reversal of 242421317959680 is 86959713124242.

It is a happy number.

242421317959680 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 2 + 1 + 31 + 7 + 9 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1360).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8573077702 + ... + 8573105978.

It is a 1-persistent number, because it is pandigital, but 2⋅242421317959680 = 484842635919360 is not.

Almost surely, 2^{242421317959680} is an apocalyptic number.

242421317959680 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 242421317959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484355715441840).

242421317959680 is an abundant number, since it is smaller than the sum of its proper divisors (726290112924000).

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

242421317959680 is an equidigital number, since it uses as much as digits as its factorization.

242421317959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28362 (or 28323 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 242421317959680 in words is "two hundred forty-two trillion, four hundred twenty-one billion, three hundred seventeen million, nine hundred fifty-nine thousand, six hundred eighty".