241738960320 has 336 divisors, whose sum is σ = 976846826592. Its totient is φ = 54095339520.

The previous prime is 241738960313. The next prime is 241738960321. The reversal of 241738960320 is 23069837142.

241738960320 is a `hidden beast` number, since 2 + 4 + 1 + 7 + 38 + 9 + 603 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241738960321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118354 + ... + 705326.

It is an arithmetic number, because the mean of its divisors is an integer number (2907282222).

Almost surely, 2^241738960320 is an apocalyptic number.

241738960320 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 241738960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488423413296).

241738960320 is an abundant number, since it is smaller than the sum of its proper divisors (735107866272).

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

241738960320 is a wasteful number, since it uses less digits than its factorization.

241738960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587020 (or 587007 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 241738960320 in words is "two hundred forty-one billion, seven hundred thirty-eight million, nine hundred sixty thousand, three hundred twenty".