4005008401 has 2 divisors, whose sum is σ = 4005008402. Its totient is φ = 4005008400.

The previous prime is 4005008333. The next prime is 4005008407. The reversal of 4005008401 is 1048005004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3730277776 + 274730625 = 61076^2 + 16575^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005008401 - 2¹⁵ = 4004975633 is a prime.

It is not a weakly prime, because it can be changed into another prime (4005008407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002504200 + 2002504201.

It is an arithmetic number, because the mean of its divisors is an integer number (2002504201).

Almost surely, 2^4005008401 is an apocalyptic number.

It is an amenable number.

4005008401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005008401 is an equidigital number, since it uses as much as digits as its factorization.

4005008401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 4005008401 is about 63285.1357034177. The cubic root of 4005008401 is about 1588.0633040611.

The spelling of 4005008401 in words is "four billion, five million, eight thousand, four hundred one".