241509342096 has 675 divisors, whose sum is σ = 827507708643. Its totient is φ = 67936112640.

The previous prime is 241509342073. The next prime is 241509342097. The reversal of 241509342096 is 690243905142.

The square root of 241509342096 is 491436.

It is a perfect power (a square), and thus also a powerful number.

241509342096 is a `hidden beast` number, since 2 + 4 + 1 + 50 + 93 + 420 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30497732496 + 211011609600 = 174636^2 + 459360^2 .

It is not an unprimeable number, because it can be changed into a prime (241509342097) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3308347116 + ... + 3308347188.

Almost surely, 2^241509342096 is an apocalyptic number.

241509342096 is the 491436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241509342096

241509342096 is an abundant number, since it is smaller than the sum of its proper divisors (585998366547).

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

241509342096 is a wasteful number, since it uses less digits than its factorization.

241509342096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 241509342096 in words is "two hundred forty-one billion, five hundred nine million, three hundred forty-two thousand, ninety-six".