242414114144 has 48 divisors (see below), whose sum is σ = 482107154256. Its totient is φ = 119974848000.

The previous prime is 242414114113. The next prime is 242414114147. The reversal of 242414114144 is 441411414242.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 242414114144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242414114147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16013459 + ... + 16028589.

It is an arithmetic number, because the mean of its divisors is an integer number (10043899047).

Almost surely, 2^242414114144 is an apocalyptic number.

It is an amenable number.

242414114144 is a deficient number, since it is larger than the sum of its proper divisors (239693040112).

242414114144 is a wasteful number, since it uses less digits than its factorization.

242414114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20199 (or 20191 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

Adding to 242414114144 its reverse (441411414242), we get a palindrome (683825528386).

The spelling of 242414114144 in words is "two hundred forty-two billion, four hundred fourteen million, one hundred fourteen thousand, one hundred forty-four".