241328140231464 has 1536 divisors, whose sum is σ = 882637401784320. Its totient is φ = 60615475200000.

The previous prime is 241328140231463. The next prime is 241328140231543. The reversal of 241328140231464 is 464132041823142.

241328140231464 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 28 + 140 + 23 + 1 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (241328140231463) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 10401615064 + ... + 10401638264.

It is an arithmetic number, because the mean of its divisors is an integer number (574633725120).

Almost surely, 2^{241328140231464} is an apocalyptic number.

241328140231464 is a gapful number since it is divisible by the number (24) 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 241328140231464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441318700892160).

241328140231464 is an abundant number, since it is smaller than the sum of its proper divisors (641309261552856).

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

241328140231464 is a wasteful number, since it uses less digits than its factorization.

241328140231464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23365 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 241328140231464 in words is "two hundred forty-one trillion, three hundred twenty-eight billion, one hundred forty million, two hundred thirty-one thousand, four hundred sixty-four".