4117478401 has 2 divisors, whose sum is σ = 4117478402. Its totient is φ = 4117478400.

The previous prime is 4117478399. The next prime is 4117478461. The reversal of 4117478401 is 1048747114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3969126001 + 148352400 = 63001^2 + 12180^2 .

It is a cyclic number.

It is not a de Polignac number, because 4117478401 - 2¹ = 4117478399 is a prime.

Together with 4117478399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4117478461) 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, 2058739200 + 2058739201.

It is an arithmetic number, because the mean of its divisors is an integer number (2058739201).

Almost surely, 2^4117478401 is an apocalyptic number.

It is an amenable number.

4117478401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4117478401 is an equidigital number, since it uses as much as digits as its factorization.

4117478401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 4117478401 is about 64167.5806073441. The cubic root of 4117478401 is about 1602.7917926472.

The spelling of 4117478401 in words is "four billion, one hundred seventeen million, four hundred seventy-eight thousand, four hundred one".