242120230440 has 192 divisors, whose sum is σ = 798787785600. Its totient is φ = 58667051520.

The previous prime is 242120230367. The next prime is 242120230453. The reversal of 242120230440 is 44032021242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242120230440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57250246 + ... + 57254474.

It is an arithmetic number, because the mean of its divisors is an integer number (4160353050).

Almost surely, 2^242120230440 is an apocalyptic number.

242120230440 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 242120230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399393892800).

242120230440 is an abundant number, since it is smaller than the sum of its proper divisors (556667555160).

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

242120230440 is a wasteful number, since it uses less digits than its factorization.

242120230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242120230440 its reverse (44032021242), we get a palindrome (286152251682).

The spelling of 242120230440 in words is "two hundred forty-two billion, one hundred twenty million, two hundred thirty thousand, four hundred forty".