241312434000000 has 448 divisors, whose sum is σ = 874061077500000. Its totient is φ = 58499968000000.

The previous prime is 241312433999977. The next prime is 241312434000061. The reversal of 241312434000000 is 434213142.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 55 ways as a sum of consecutive naturals, for example, 64171876 + ... + 67828124.

Almost surely, 2^{241312434000000} is an apocalyptic number.

241312434000000 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 241312434000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437030538750000).

241312434000000 is an abundant number, since it is smaller than the sum of its proper divisors (632748643500000).

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

241312434000000 is an frugal number, since it uses more digits than its factorization.

241312434000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656307 (or 3656270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 241312434000000 its reverse (434213142), we get a palindrome (241312868213142).

The spelling of 241312434000000 in words is "two hundred forty-one trillion, three hundred twelve billion, four hundred thirty-four million", and thus it is an aban number.