414101104135 has 8 divisors (see below), whose sum is σ = 498345170400. Its totient is φ = 330331653024.

The previous prime is 414101104099. The next prime is 414101104181. The reversal of 414101104135 is 531401101414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414101104135 - 2²⁵ = 414067549703 is a prime.

It is a super-2 number, since 2×414101104135² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118651867 + ... + 118655356.

It is an arithmetic number, because the mean of its divisors is an integer number (62293146300).

Almost surely, 2^414101104135 is an apocalyptic number.

414101104135 is a deficient number, since it is larger than the sum of its proper divisors (84244066265).

414101104135 is a wasteful number, since it uses less digits than its factorization.

414101104135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237307577.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 414101104135 its reverse (531401101414), we get a palindrome (945502205549).

The spelling of 414101104135 in words is "four hundred fourteen billion, one hundred one million, one hundred four thousand, one hundred thirty-five".