242845967220480 has 3456 divisors, whose sum is σ = 992811810816000. Its totient is φ = 56105683845120.

The previous prime is 242845967220473. The next prime is 242845967220497. The reversal of 242845967220480 is 84022769548242.

It is a happy number.

242845967220480 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 45 + 96 + 7 + 2 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1356681381031 + ... + 1356681381209.

It is an arithmetic number, because the mean of its divisors is an integer number (287271936000).

Almost surely, 2^{242845967220480} is an apocalyptic number.

242845967220480 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 242845967220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496405905408000).

242845967220480 is an abundant number, since it is smaller than the sum of its proper divisors (749965843595520).

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

242845967220480 is a wasteful number, since it uses less digits than its factorization.

242845967220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 242845967220480 in words is "two hundred forty-two trillion, eight hundred forty-five billion, nine hundred sixty-seven million, two hundred twenty thousand, four hundred eighty".