10241466414201 has 48 divisors (see below), whose sum is σ = 16978482114048. Its totient is φ = 5891896454400.

The previous prime is 10241466414173. The next prime is 10241466414203.

10241466414201 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 4 + 6 + 641 + 4 + 2 + 0 + 1 = 666.

10241466414201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10241466414201 - 2¹⁹ = 10241465889913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10241466414203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33946441 + ... + 34246806.

It is an arithmetic number, because the mean of its divisors is an integer number (353718377376).

Almost surely, 2^{10241466414201} is an apocalyptic number.

10241466414201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10241466414201 is a deficient number, since it is larger than the sum of its proper divisors (6737015699847).

10241466414201 is a wasteful number, since it uses less digits than its factorization.

10241466414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68193342 (or 68193339 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 1024146 and 6414201, that added together give a palindrome (7438347).

The spelling of 10241466414201 in words is "ten trillion, two hundred forty-one billion, four hundred sixty-six million, four hundred fourteen thousand, two hundred one".