241413624672 has 192 divisors, whose sum is σ = 697411814400. Its totient is φ = 72514068480.

The previous prime is 241413624671. The next prime is 241413624691. The reversal of 241413624672 is 276426314142.

It is a happy number.

241413624672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241413624671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57793848 + ... + 57798024.

It is an arithmetic number, because the mean of its divisors is an integer number (3632353200).

Almost surely, 2^241413624672 is an apocalyptic number.

241413624672 is a gapful number since it is divisible by the number (22) 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 241413624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348705907200).

241413624672 is an abundant number, since it is smaller than the sum of its proper divisors (455998189728).

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

241413624672 is a wasteful number, since it uses less digits than its factorization.

241413624672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4661 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The spelling of 241413624672 in words is "two hundred forty-one billion, four hundred thirteen million, six hundred twenty-four thousand, six hundred seventy-two".