241280811072 has 448 divisors, whose sum is σ = 842052672000. Its totient is φ = 66286854144.

The previous prime is 241280811059. The next prime is 241280811073. The reversal of 241280811072 is 270118082142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (241280811073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94359618 + ... + 94362174.

Almost surely, 2^241280811072 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 241280811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421026336000).

241280811072 is an abundant number, since it is smaller than the sum of its proper divisors (600771860928).

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

241280811072 is a wasteful number, since it uses less digits than its factorization.

241280811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 241280811072 in words is "two hundred forty-one billion, two hundred eighty million, eight hundred eleven thousand, seventy-two".