241315200000 has 1980 divisors, whose sum is σ = 1102910581080. Its totient is φ = 52254720000.

The previous prime is 241315199933. The next prime is 241315200013. The reversal of 241315200000 is 2513142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12700799991 + ... + 12700800009.

It is an arithmetic number, because the mean of its divisors is an integer number (557025546).

Almost surely, 2^241315200000 is an apocalyptic number.

241315200000 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 241315200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551455290540).

241315200000 is an abundant number, since it is smaller than the sum of its proper divisors (861595381080).

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

241315200000 is an frugal number, since it uses more digits than its factorization.

241315200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 241315200000 its reverse (2513142), we get a palindrome (241317713142).

The spelling of 241315200000 in words is "two hundred forty-one billion, three hundred fifteen million, two hundred thousand".