242573728320 has 1792 divisors, whose sum is σ = 1132603637760. Its totient is φ = 47383142400.

The previous prime is 242573728291. The next prime is 242573728373. The reversal of 242573728320 is 23827375242.

242573728320 is a `hidden beast` number, since 2 + 4 + 2 + 573 + 72 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1270019425 + ... + 1270019615.

It is an arithmetic number, because the mean of its divisors is an integer number (632033280).

Almost surely, 2^242573728320 is an apocalyptic number.

242573728320 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 242573728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566301818880).

242573728320 is an abundant number, since it is smaller than the sum of its proper divisors (890029909440).

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

242573728320 is a wasteful number, since it uses less digits than its factorization.

242573728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 242573728320 in words is "two hundred forty-two billion, five hundred seventy-three million, seven hundred twenty-eight thousand, three hundred twenty".