242243431040 has 256 divisors, whose sum is σ = 646918272000. Its totient is φ = 86125068288.

The previous prime is 242243431033. The next prime is 242243431043. The reversal of 242243431040 is 40134342242.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 242243430994 and 242243431012.

It is not an unprimeable number, because it can be changed into a prime (242243431043) 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 31 ways as a sum of consecutive naturals, for example, 105920777 + ... + 105923063.

It is an arithmetic number, because the mean of its divisors is an integer number (2527024500).

Almost surely, 2^242243431040 is an apocalyptic number.

242243431040 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 242243431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323459136000).

242243431040 is an abundant number, since it is smaller than the sum of its proper divisors (404674840960).

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

242243431040 is a wasteful number, since it uses less digits than its factorization.

242243431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 242243431040 its reverse (40134342242), we get a palindrome (282377773282).

The spelling of 242243431040 in words is "two hundred forty-two billion, two hundred forty-three million, four hundred thirty-one thousand, forty".