401434897841 has 2 divisors, whose sum is σ = 401434897842. Its totient is φ = 401434897840.

The previous prime is 401434897811. The next prime is 401434897867. The reversal of 401434897841 is 148798434104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379135747600 + 22299150241 = 615740^2 + 149329^2 .

It is a cyclic number.

It is not a de Polignac number, because 401434897841 - 2⁶ = 401434897777 is a prime.

It is a super-3 number, since 3×401434897841³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (401434897811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200717448920 + 200717448921.

It is an arithmetic number, because the mean of its divisors is an integer number (200717448921).

Almost surely, 2^401434897841 is an apocalyptic number.

It is an amenable number.

401434897841 is a deficient number, since it is larger than the sum of its proper divisors (1).

401434897841 is an equidigital number, since it uses as much as digits as its factorization.

401434897841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 401434897841 in words is "four hundred one billion, four hundred thirty-four million, eight hundred ninety-seven thousand, eight hundred forty-one".