401141761 has 2 divisors, whose sum is σ = 401141762. Its totient is φ = 401141760.

The previous prime is 401141759. The next prime is 401141771. The reversal of 401141761 is 167141104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 397603600 + 3538161 = 19940^2 + 1881^2 .

It is a cyclic number.

It is not a de Polignac number, because 401141761 - 2¹ = 401141759 is a prime.

It is a super-3 number, since 3×401141761³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 401141759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (401141771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200570880 + 200570881.

It is an arithmetic number, because the mean of its divisors is an integer number (200570881).

Almost surely, 2^401141761 is an apocalyptic number.

It is an amenable number.

401141761 is a deficient number, since it is larger than the sum of its proper divisors (1).

401141761 is an equidigital number, since it uses as much as digits as its factorization.

401141761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 401141761 is about 20028.5236849849. The cubic root of 401141761 is about 737.5066810081.

Adding to 401141761 its reverse (167141104), we get a palindrome (568282865).

The spelling of 401141761 in words is "four hundred one million, one hundred forty-one thousand, seven hundred sixty-one".