241066727424 has 384 divisors, whose sum is σ = 764618400000. Its totient is φ = 74816815104.

The previous prime is 241066727353. The next prime is 241066727467. The reversal of 241066727424 is 424727660142.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×241066727424² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241066727424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61984872 + ... + 61988760.

It is an arithmetic number, because the mean of its divisors is an integer number (1991193750).

Almost surely, 2^241066727424 is an apocalyptic number.

241066727424 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 241066727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382309200000).

241066727424 is an abundant number, since it is smaller than the sum of its proper divisors (523551672576).

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

241066727424 is a wasteful number, since it uses less digits than its factorization.

241066727424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 241066727424 in words is "two hundred forty-one billion, sixty-six million, seven hundred twenty-seven thousand, four hundred twenty-four".