4040101 has 16 divisors (see below), whose sum is σ = 4678128. Its totient is φ = 3456000.

The previous prime is 4040093. The next prime is 4040119. The reversal of 4040101 is 1010404.

It is a Cunningham number, because it is equal to 2010²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 36100 + 4004001 = 190^2 + 2001^2 .

It is a 5-Lehmer number, since φ(4040101) divides (4040101-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 4040101 - 2³ = 4040093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040161) 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, 22231 + ... + 22411.

It is an arithmetic number, because the mean of its divisors is an integer number (292383).

Almost surely, 2^4040101 is an apocalyptic number.

It is an amenable number.

4040101 is a deficient number, since it is larger than the sum of its proper divisors (638027).

4040101 is a wasteful number, since it uses less digits than its factorization.

4040101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4040101 is about 2010.0002487562. Note that the first 3 decimals coincide. The cubic root of 4040101 is about 159.2688120538.

Adding to 4040101 its reverse (1010404), we get a palindrome (5050505).

The spelling of 4040101 in words is "four million, forty thousand, one hundred one".