242435464534242 has 128 divisors (see below), whose sum is σ = 642871589068800. Its totient is φ = 66215177189568.

The previous prime is 242435464534229. The next prime is 242435464534247.

242435464534242 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 3 + 5 + 4 + 64 + 534 + 2 + 42 = 666.

242435464534242 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (242435464534247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5714859 + ... + 22749297.

It is an arithmetic number, because the mean of its divisors is an integer number (5022434289600).

Almost surely, 2^{242435464534242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242435464534242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321435794534400).

242435464534242 is an abundant number, since it is smaller than the sum of its proper divisors (400436124534558).

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

242435464534242 is a wasteful number, since it uses less digits than its factorization.

242435464534242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17036117 (or 17036111 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 54.

The spelling of 242435464534242 in words is "two hundred forty-two trillion, four hundred thirty-five billion, four hundred sixty-four million, five hundred thirty-four thousand, two hundred forty-two".