241010135042040 has 384 divisors, whose sum is σ = 966053213798400. Its totient is φ = 50744327040000.

The previous prime is 241010135042011. The next prime is 241010135042051. The reversal of 241010135042040 is 40240531010142.

241010135042040 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 101 + 350 + 4 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241010135041995 and 241010135042013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8012665 + ... + 23371415.

It is an arithmetic number, because the mean of its divisors is an integer number (2515763577600).

Almost surely, 2^{241010135042040} is an apocalyptic number.

241010135042040 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 241010135042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483026606899200).

241010135042040 is an abundant number, since it is smaller than the sum of its proper divisors (725043078756360).

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

241010135042040 is a wasteful number, since it uses less digits than its factorization.

241010135042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15359267 (or 15359260 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 241010135042040 its reverse (40240531010142), we get a palindrome (281250666052182).

The spelling of 241010135042040 in words is "two hundred forty-one trillion, ten billion, one hundred thirty-five million, forty-two thousand, forty".