241424760374200 has 192 divisors, whose sum is σ = 640073058327360. Its totient is φ = 83894645022720.

The previous prime is 241424760374197. The next prime is 241424760374201. The reversal of 241424760374200 is 2473067424142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241424760374201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365382197 + ... + 1365559003.

It is an arithmetic number, because the mean of its divisors is an integer number (3333713845455).

Almost surely, 2^{241424760374200} is an apocalyptic number.

241424760374200 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 241424760374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320036529163680).

241424760374200 is an abundant number, since it is smaller than the sum of its proper divisors (398648297953160).

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

241424760374200 is a wasteful number, since it uses less digits than its factorization.

241424760374200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207746 (or 207737 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 46.

The spelling of 241424760374200 in words is "two hundred forty-one trillion, four hundred twenty-four billion, seven hundred sixty million, three hundred seventy-four thousand, two hundred".