242014003732608 has 128 divisors (see below), whose sum is σ = 680709594960000. Its totient is φ = 75920918986752.

The previous prime is 242014003732597. The next prime is 242014003732663. The reversal of 242014003732608 is 806237300410242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 242014003732608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97669053 + ... + 100116291.

It is an arithmetic number, because the mean of its divisors is an integer number (5318043710625).

Almost surely, 2^{242014003732608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242014003732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340354797480000).

242014003732608 is an abundant number, since it is smaller than the sum of its proper divisors (438695591227392).

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

242014003732608 is a wasteful number, since it uses less digits than its factorization.

242014003732608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462422 (or 2462410 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 242014003732608 in words is "two hundred forty-two trillion, fourteen billion, three million, seven hundred thirty-two thousand, six hundred eight".