242434134048 has 96 divisors (see below), whose sum is σ = 642016452672. Its totient is φ = 80099712000.

The previous prime is 242434134043. The next prime is 242434134049. The reversal of 242434134048 is 840431434242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 242434133997 and 242434134015.

It is not an unprimeable number, because it can be changed into a prime (242434134043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5475198 + ... + 5519298.

It is an arithmetic number, because the mean of its divisors is an integer number (6687671382).

Almost surely, 2^242434134048 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 242434134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321008226336).

242434134048 is an abundant number, since it is smaller than the sum of its proper divisors (399582318624).

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

242434134048 is a wasteful number, since it uses less digits than its factorization.

242434134048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44618 (or 44610 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

The spelling of 242434134048 in words is "two hundred forty-two billion, four hundred thirty-four million, one hundred thirty-four thousand, forty-eight".