4181310401 has 2 divisors, whose sum is σ = 4181310402. Its totient is φ = 4181310400.

The previous prime is 4181310391. The next prime is 4181310403. The reversal of 4181310401 is 1040131814.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3883782400 + 297528001 = 62320^2 + 17249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4181310401 is a prime.

Together with 4181310403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4181310403) 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 as a sum of consecutive naturals, namely, 2090655200 + 2090655201.

It is an arithmetic number, because the mean of its divisors is an integer number (2090655201).

Almost surely, 2^4181310401 is an apocalyptic number.

It is an amenable number.

4181310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4181310401 is an equidigital number, since it uses as much as digits as its factorization.

4181310401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 4181310401 is about 64663.0528277161. The cubic root of 4181310401 is about 1611.0318862402.

The spelling of 4181310401 in words is "four billion, one hundred eighty-one million, three hundred ten thousand, four hundred one".