241415415514065 has 512 divisors, whose sum is σ = 481861675008000. Its totient is φ = 101917506797568.

The previous prime is 241415415514051. The next prime is 241415415514153. The reversal of 241415415514065 is 560415514514142.

It is a happy number.

It is not a de Polignac number, because 241415415514065 - 2⁵ = 241415415514033 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 110791837146 + ... + 110791839324.

It is an arithmetic number, because the mean of its divisors is an integer number (941136084000).

Almost surely, 2^{241415415514065} is an apocalyptic number.

It is an amenable number.

241415415514065 is a deficient number, since it is larger than the sum of its proper divisors (240446259493935).

241415415514065 is a wasteful number, since it uses less digits than its factorization.

241415415514065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921.

The product of its (nonzero) digits is 1920000, while the sum is 48.

The spelling of 241415415514065 in words is "two hundred forty-one trillion, four hundred fifteen billion, four hundred fifteen million, five hundred fourteen thousand, sixty-five".