242231441441440 has 192 divisors, whose sum is σ = 657219806208000. Its totient is φ = 83439820846080.

The previous prime is 242231441441419. The next prime is 242231441441441. The reversal of 242231441441440 is 44144144132242.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 242231441441393 and 242231441441402.

It is not an unprimeable number, because it can be changed into a prime (242231441441441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339360441 + ... + 340073479.

It is an arithmetic number, because the mean of its divisors is an integer number (3423019824000).

Almost surely, 2^{242231441441440} is an apocalyptic number.

242231441441440 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 242231441441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328609903104000).

242231441441440 is an abundant number, since it is smaller than the sum of its proper divisors (414988364766560).

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

242231441441440 is a wasteful number, since it uses less digits than its factorization.

242231441441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723243 (or 723235 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 242231441441440 its reverse (44144144132242), we get a palindrome (286375585573682).

The spelling of 242231441441440 in words is "two hundred forty-two trillion, two hundred thirty-one billion, four hundred forty-one million, four hundred forty-one thousand, four hundred forty".