241013244122240 has 256 divisors, whose sum is σ = 589583664000000. Its totient is φ = 94182776303616.

The previous prime is 241013244122197. The next prime is 241013244122263. The reversal of 241013244122240 is 42221442310142.

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 = 241013244122197 and 241013244122206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6454713491 + ... + 6454750829.

It is an arithmetic number, because the mean of its divisors is an integer number (2303061187500).

Almost surely, 2^{241013244122240} is an apocalyptic number.

241013244122240 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 241013244122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294791832000000).

241013244122240 is an abundant number, since it is smaller than the sum of its proper divisors (348570419877760).

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

241013244122240 is a wasteful number, since it uses less digits than its factorization.

241013244122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38475 (or 38463 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 241013244122240 its reverse (42221442310142), we get a palindrome (283234686432382).

The spelling of 241013244122240 in words is "two hundred forty-one trillion, thirteen billion, two hundred forty-four million, one hundred twenty-two thousand, two hundred forty".