242413305120 has 192 divisors, whose sum is σ = 969653341440. Its totient is φ = 55408748544.

The previous prime is 242413305109. The next prime is 242413305143. The reversal of 242413305120 is 21503314242.

242413305120 is a `hidden beast` number, since 24 + 241 + 330 + 51 + 20 = 666.

242413305120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×242413305120³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3977917 + ... + 4038396.

It is an arithmetic number, because the mean of its divisors is an integer number (5050277820).

Almost surely, 2^242413305120 is an apocalyptic number.

242413305120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242413305120 is an abundant number, since it is smaller than the sum of its proper divisors (727240036320).

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

242413305120 is a wasteful number, since it uses less digits than its factorization.

242413305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016344 (or 8016330 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 242413305120 its reverse (21503314242), we get a palindrome (263916619362).

The spelling of 242413305120 in words is "two hundred forty-two billion, four hundred thirteen million, three hundred five thousand, one hundred twenty".