241004707840 has 300 divisors, whose sum is σ = 663169774284. Its totient is φ = 83751862272.

The previous prime is 241004707831. The next prime is 241004707847. The reversal of 241004707840 is 48707400142.

It can be written as a sum of positive squares in 6 ways, for example, as 22968008704 + 218036699136 = 151552^2 + 466944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 241004707840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241004707847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14176747512 + ... + 14176747528.

Almost surely, 2^241004707840 is an apocalyptic number.

241004707840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

241004707840 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241004707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331584887142).

241004707840 is an abundant number, since it is smaller than the sum of its proper divisors (422165066444).

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

241004707840 is an frugal number, since it uses more digits than its factorization.

241004707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

The spelling of 241004707840 in words is "two hundred forty-one billion, four million, seven hundred seven thousand, eight hundred forty".