242023414152 has 192 divisors, whose sum is σ = 660275712000. Its totient is φ = 73892712192.

The previous prime is 242023414109. The next prime is 242023414153. The reversal of 242023414152 is 251414320242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (242023414153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505267849 + ... + 505268327.

It is an arithmetic number, because the mean of its divisors is an integer number (3438936000).

Almost surely, 2^242023414152 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 242023414152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330137856000).

242023414152 is an abundant number, since it is smaller than the sum of its proper divisors (418252297848).

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

242023414152 is a wasteful number, since it uses less digits than its factorization.

242023414152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 242023414152 its reverse (251414320242), we get a palindrome (493437734394).

The spelling of 242023414152 in words is "two hundred forty-two billion, twenty-three million, four hundred fourteen thousand, one hundred fifty-two".