4101214041 has 24 divisors (see below), whose sum is σ = 6061817736. Its totient is φ = 2670969600.

The previous prime is 4101214027. The next prime is 4101214067. The reversal of 4101214041 is 1404121014.

4101214041 is a `hidden beast` number, since 410 + 1 + 214 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2653641 + 4098560400 = 1629^2 + 64020^2 .

It is not a de Polignac number, because 4101214041 - 2⁵ = 4101214009 is a prime.

It is a super-2 number, since 2×4101214041² = 33639913220191099362, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4101214141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92691 + ... + 129591.

It is an arithmetic number, because the mean of its divisors is an integer number (252575739).

Almost surely, 2^4101214041 is an apocalyptic number.

It is an amenable number.

4101214041 is a deficient number, since it is larger than the sum of its proper divisors (1960603695).

4101214041 is a wasteful number, since it uses less digits than its factorization.

4101214041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37193 (or 37190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4101214041 is about 64040.7217401553. The cubic root of 4101214041 is about 1600.6786237165.

Adding to 4101214041 its reverse (1404121014), we get a palindrome (5505335055).

The spelling of 4101214041 in words is "four billion, one hundred one million, two hundred fourteen thousand, forty-one".