4006278401 has 2 divisors, whose sum is σ = 4006278402. Its totient is φ = 4006278400.

The previous prime is 4006278389. The next prime is 4006278403. The reversal of 4006278401 is 1048726004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3696518401 + 309760000 = 60799^2 + 17600^2 .

It is a cyclic number.

It is not a de Polignac number, because 4006278401 - 2⁶ = 4006278337 is a prime.

It is a Sophie Germain prime.

Together with 4006278403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4006278403) 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, 2003139200 + 2003139201.

It is an arithmetic number, because the mean of its divisors is an integer number (2003139201).

Almost surely, 2^4006278401 is an apocalyptic number.

It is an amenable number.

4006278401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006278401 is an equidigital number, since it uses as much as digits as its factorization.

4006278401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 4006278401 is about 63295.1688598743. The cubic root of 4006278401 is about 1588.2311461769.

The spelling of 4006278401 in words is "four billion, six million, two hundred seventy-eight thousand, four hundred one".