241540113126640 has 80 divisors (see below), whose sum is σ = 593306162225280. Its totient is φ = 91299681751040.

The previous prime is 241540113126623. The next prime is 241540113126647. The reversal of 241540113126640 is 46621311045142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 241540113126593 and 241540113126602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241540113126647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107466681 + ... + 1107684760.

It is an arithmetic number, because the mean of its divisors is an integer number (7416327027816).

Almost surely, 2^{241540113126640} is an apocalyptic number.

241540113126640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241540113126640 is an abundant number, since it is smaller than the sum of its proper divisors (351766049098640).

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

241540113126640 is a wasteful number, since it uses less digits than its factorization.

241540113126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215151530 (or 2215151524 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 241540113126640 in words is "two hundred forty-one trillion, five hundred forty billion, one hundred thirteen million, one hundred twenty-six thousand, six hundred forty".