241308131328 has 336 divisors, whose sum is σ = 764301550896. Its totient is φ = 72752824320.

The previous prime is 241308131299. The next prime is 241308131329. The reversal of 241308131328 is 823131803142.

241308131328 is a `hidden beast` number, since 24 + 1 + 308 + 1 + 3 + 1 + 328 = 666.

It is a super-2 number, since 2×241308131328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241308131292 and 241308131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241308131329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188964226 + ... + 188965502.

Almost surely, 2^241308131328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241308131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382150775448).

241308131328 is an abundant number, since it is smaller than the sum of its proper divisors (522993419568).

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

241308131328 is a wasteful number, since it uses less digits than its factorization.

241308131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 241308131328 in words is "two hundred forty-one billion, three hundred eight million, one hundred thirty-one thousand, three hundred twenty-eight".