242995128320 has 384 divisors, whose sum is σ = 712144742400. Its totient is φ = 77720518656.

The previous prime is 242995128281. The next prime is 242995128329. The reversal of 242995128320 is 23821599242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (242995128329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91247309 + ... + 91249971.

It is an arithmetic number, because the mean of its divisors is an integer number (1854543600).

Almost surely, 2^242995128320 is an apocalyptic number.

242995128320 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 242995128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356072371200).

242995128320 is an abundant number, since it is smaller than the sum of its proper divisors (469149614080).

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

242995128320 is a wasteful number, since it uses less digits than its factorization.

242995128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 242995128320 in words is "two hundred forty-two billion, nine hundred ninety-five million, one hundred twenty-eight thousand, three hundred twenty".