242413320321 has 20 divisors (see below), whose sum is σ = 362145508164. Its totient is φ = 161599104000.

The previous prime is 242413320223. The next prime is 242413320341. The reversal of 242413320321 is 123023314242.

242413320321 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 1 + 332 + 0 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43301031921 + 199112288400 = 208089^2 + 446220^2 .

It is not a de Polignac number, because 242413320321 - 2¹⁵ = 242413287553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242413320341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1409161 + ... + 1571801.

Almost surely, 2^242413320321 is an apocalyptic number.

It is an amenable number.

242413320321 is a deficient number, since it is larger than the sum of its proper divisors (119732187843).

242413320321 is a wasteful number, since it uses less digits than its factorization.

242413320321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181054 (or 181045 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 242413320321 its reverse (123023314242), we get a palindrome (365436634563).

The spelling of 242413320321 in words is "two hundred forty-two billion, four hundred thirteen million, three hundred twenty thousand, three hundred twenty-one".