241284385737280 has 112 divisors (see below), whose sum is σ = 594527592420720. Its totient is φ = 93161112403968.

The previous prime is 241284385737173. The next prime is 241284385737287. The reversal of 241284385737280 is 82737583482142.

It can be written as a sum of positive squares in 8 ways, for example, as 10062193033216 + 231222192704064 = 3172096^2 + 15205992^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (241284385737287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31771612 + ... + 38626468.

It is an arithmetic number, because the mean of its divisors is an integer number (5308282075185).

Almost surely, 2^{241284385737280} is an apocalyptic number.

241284385737280 is a gapful number since it is divisible by the number (20) 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 241284385737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297263796210360).

241284385737280 is an abundant number, since it is smaller than the sum of its proper divisors (353243206683440).

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

241284385737280 is a wasteful number, since it uses less digits than its factorization.

241284385737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858696 (or 6858686 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 64.

The spelling of 241284385737280 in words is "two hundred forty-one trillion, two hundred eighty-four billion, three hundred eighty-five million, seven hundred thirty-seven thousand, two hundred eighty".