4104414101 has 32 divisors (see below), whose sum is σ = 4468988160. Its totient is φ = 3759782400.

The previous prime is 4104414011. The next prime is 4104414133. The reversal of 4104414101 is 1014144014.

It is a happy number.

4104414101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4104414101 - 2²² = 4100219797 is a prime.

It is a super-2 number, since 2×4104414101² = 33692430224975276402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104414161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22676231 + ... + 22676411.

It is an arithmetic number, because the mean of its divisors is an integer number (139655880).

Almost surely, 2^4104414101 is an apocalyptic number.

4104414101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4104414101 is a deficient number, since it is larger than the sum of its proper divisors (364574059).

4104414101 is a wasteful number, since it uses less digits than its factorization.

4104414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4104414101 is about 64065.7014400061. The cubic root of 4104414101 is about 1601.0948367297.

Adding to 4104414101 its reverse (1014144014), we get a palindrome (5118558115).

The spelling of 4104414101 in words is "four billion, one hundred four million, four hundred fourteen thousand, one hundred one".