241793040384 has 544 divisors, whose sum is σ = 832311335680. Its totient is φ = 68797071360.

The previous prime is 241793040343. The next prime is 241793040413. The reversal of 241793040384 is 483040397142.

241793040384 is a `hidden beast` number, since 241 + 79 + 304 + 0 + 38 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003290504 + ... + 1003290744.

Almost surely, 2^241793040384 is an apocalyptic number.

241793040384 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 241793040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416155667840).

241793040384 is an abundant number, since it is smaller than the sum of its proper divisors (590518295296).

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

241793040384 is an frugal number, since it uses more digits than its factorization.

241793040384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 241793040384 in words is "two hundred forty-one billion, seven hundred ninety-three million, forty thousand, three hundred eighty-four".