241044041144000 has 112 divisors (see below), whose sum is σ = 597348666510336. Its totient is φ = 96352508672000.

The previous prime is 241044041143991. The next prime is 241044041144051. The reversal of 241044041144000 is 441140440142.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1675649 + ... + 22020351.

Almost surely, 2^{241044041144000} is an apocalyptic number.

241044041144000 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 241044041144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298674333255168).

241044041144000 is an abundant number, since it is smaller than the sum of its proper divisors (356304625366336).

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

241044041144000 is a wasteful number, since it uses less digits than its factorization.

241044041144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20346211 (or 20346191 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 241044041144000 its reverse (441140440142), we get a palindrome (241485181584142).

The spelling of 241044041144000 in words is "two hundred forty-one trillion, forty-four billion, forty-one million, one hundred forty-four thousand".