241234044224000 has 320 divisors, whose sum is σ = 604286881735680. Its totient is φ = 96052716748800.

The previous prime is 241234044223999. The next prime is 241234044224051. The reversal of 241234044224000 is 422440432142.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 13082806781 + ... + 13082825219.

It is an arithmetic number, because the mean of its divisors is an integer number (1888396505424).

Almost surely, 2^{241234044224000} is an apocalyptic number.

241234044224000 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 241234044224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302143440867840).

241234044224000 is an abundant number, since it is smaller than the sum of its proper divisors (363052837511680).

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

241234044224000 is an equidigital number, since it uses as much as digits as its factorization.

241234044224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19396 (or 19370 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 241234044224000 its reverse (422440432142), we get a palindrome (241656484656142).

The spelling of 241234044224000 in words is "two hundred forty-one trillion, two hundred thirty-four billion, forty-four million, two hundred twenty-four thousand".