241541143018240 has 288 divisors, whose sum is σ = 650599885272960. Its totient is φ = 85249345978368.

The previous prime is 241541143018199. The next prime is 241541143018243. The reversal of 241541143018240 is 42810341145142.

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 = 241541143018193 and 241541143018202.

It is not an unprimeable number, because it can be changed into a prime (241541143018243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569658154 + ... + 570082006.

It is an arithmetic number, because the mean of its divisors is an integer number (2259027379420).

Almost surely, 2^{241541143018240} is an apocalyptic number.

241541143018240 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 241541143018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325299942636480).

241541143018240 is an abundant number, since it is smaller than the sum of its proper divisors (409058742254720).

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

241541143018240 is a wasteful number, since it uses less digits than its factorization.

241541143018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425399 (or 425385 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 241541143018240 in words is "two hundred forty-one trillion, five hundred forty-one billion, one hundred forty-three million, eighteen thousand, two hundred forty".