242416825728 has 256 divisors, whose sum is σ = 803370147840. Its totient is φ = 62921410560.

The previous prime is 242416825687. The next prime is 242416825759. The reversal of 242416825728 is 827528614242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81813175 + ... + 81816137.

It is an arithmetic number, because the mean of its divisors is an integer number (3138164640).

Almost surely, 2^242416825728 is an apocalyptic number.

242416825728 is a gapful number since it is divisible by the number (28) 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 242416825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401685073920).

242416825728 is an abundant number, since it is smaller than the sum of its proper divisors (560953322112).

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

242416825728 is a wasteful number, since it uses less digits than its factorization.

242416825728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5753 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 51.

The spelling of 242416825728 in words is "two hundred forty-two billion, four hundred sixteen million, eight hundred twenty-five thousand, seven hundred twenty-eight".