4040414401 has 2 divisors, whose sum is σ = 4040414402. Its totient is φ = 4040414400.

The previous prime is 4040414387. The next prime is 4040414407. The reversal of 4040414401 is 1044140404.

It is a happy number.

4040414401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2049916176 + 1990498225 = 45276^2 + 44615^2 .

It is a cyclic number.

It is not a de Polignac number, because 4040414401 - 2⁵ = 4040414369 is a prime.

It is not a weakly prime, because it can be changed into another prime (4040414407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2020207200 + 2020207201.

It is an arithmetic number, because the mean of its divisors is an integer number (2020207201).

Almost surely, 2^4040414401 is an apocalyptic number.

It is an amenable number.

4040414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4040414401 is an equidigital number, since it uses as much as digits as its factorization.

4040414401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4040414401 is about 63564.2541134559. The cubic root of 4040414401 is about 1592.7293024407.

Adding to 4040414401 its reverse (1044140404), we get a palindrome (5084554805).

The spelling of 4040414401 in words is "four billion, forty million, four hundred fourteen thousand, four hundred one".