242405114432 has 56 divisors (see below), whose sum is σ = 518165690616. Its totient is φ = 111848767488.

The previous prime is 242405114431. The next prime is 242405114519. The reversal of 242405114432 is 234411504242.

It can be written as a sum of positive squares in 4 ways, for example, as 39782695936 + 202622418496 = 199456^2 + 450136^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (242405114431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3167888 + ... + 3243504.

It is an arithmetic number, because the mean of its divisors is an integer number (9252958761).

Almost surely, 2^242405114432 is an apocalyptic number.

It is an amenable number.

242405114432 is an abundant number, since it is smaller than the sum of its proper divisors (275760576184).

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

242405114432 is a wasteful number, since it uses less digits than its factorization.

242405114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79495 (or 79485 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 242405114432 its reverse (234411504242), we get a palindrome (476816618674).

The spelling of 242405114432 in words is "two hundred forty-two billion, four hundred five million, one hundred fourteen thousand, four hundred thirty-two".