242404485120 has 1728 divisors, whose sum is σ = 1096153793280. Its totient is φ = 48271196160.

The previous prime is 242404485083. The next prime is 242404485161. The reversal of 242404485120 is 21584404242.

242404485120 is a `hidden beast` number, since 242 + 404 + 4 + 8 + 5 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7819499505 + ... + 7819499535.

It is an arithmetic number, because the mean of its divisors is an integer number (634348260).

Almost surely, 2^242404485120 is an apocalyptic number.

242404485120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242404485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548076896640).

242404485120 is an abundant number, since it is smaller than the sum of its proper divisors (853749308160).

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

242404485120 is a wasteful number, since it uses less digits than its factorization.

242404485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 242404485120 its reverse (21584404242), we get a palindrome (263988889362).

The spelling of 242404485120 in words is "two hundred forty-two billion, four hundred four million, four hundred eighty-five thousand, one hundred twenty".