241670799360 has 720 divisors, whose sum is σ = 883293465600. Its totient is φ = 61039706112.

The previous prime is 241670799343. The next prime is 241670799371. The reversal of 241670799360 is 63997076142.

It is a happy number.

241670799360 is a `hidden beast` number, since 2 + 416 + 70 + 79 + 93 + 6 + 0 = 666.

241670799360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×241670799360³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241670799297 and 241670799306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1902919617 + ... + 1902919743.

It is an arithmetic number, because the mean of its divisors is an integer number (1226796480).

Almost surely, 2^241670799360 is an apocalyptic number.

241670799360 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 241670799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441646732800).

241670799360 is an abundant number, since it is smaller than the sum of its proper divisors (641622666240).

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

241670799360 is a wasteful number, since it uses less digits than its factorization.

241670799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 241670799360 in words is "two hundred forty-one billion, six hundred seventy million, seven hundred ninety-nine thousand, three hundred sixty".