241131112233440 has 384 divisors, whose sum is σ = 685734813912960. Its totient is φ = 78948178329600.

The previous prime is 241131112233421. The next prime is 241131112233449. The reversal of 241131112233440 is 44332211131142.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 241131112233397 and 241131112233406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241131112233449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4867672352 + ... + 4867721888.

It is an arithmetic number, because the mean of its divisors is an integer number (1785767744565).

Almost surely, 2^{241131112233440} is an apocalyptic number.

241131112233440 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 241131112233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342867406956480).

241131112233440 is an abundant number, since it is smaller than the sum of its proper divisors (444603701679520).

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

241131112233440 is a wasteful number, since it uses less digits than its factorization.

241131112233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54806 (or 54798 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 241131112233440 its reverse (44332211131142), we get a palindrome (285463323364582).

The spelling of 241131112233440 in words is "two hundred forty-one trillion, one hundred thirty-one billion, one hundred twelve million, two hundred thirty-three thousand, four hundred forty".