414041101 has 16 divisors (see below), whose sum is σ = 441552384. Its totient is φ = 387419824.

The previous prime is 414041087. The next prime is 414041119. The reversal of 414041101 is 101140414.

It is a cyclic number.

It is not a de Polignac number, because 414041101 - 2⁹ = 414040589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414041161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203250 + ... + 205276.

It is an arithmetic number, because the mean of its divisors is an integer number (27597024).

Almost surely, 2^414041101 is an apocalyptic number.

It is an amenable number.

414041101 is a deficient number, since it is larger than the sum of its proper divisors (27511283).

414041101 is a wasteful number, since it uses less digits than its factorization.

414041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 414041101 is about 20347.9999262827. Note that the first 4 decimals coincide. The cubic root of 414041101 is about 745.3286545973.

Adding to 414041101 its reverse (101140414), we get a palindrome (515181515).

The spelling of 414041101 in words is "four hundred fourteen million, forty-one thousand, one hundred one".