401553641 has 2 divisors, whose sum is σ = 401553642. Its totient is φ = 401553640.

The previous prime is 401553629. The next prime is 401553661. The reversal of 401553641 is 146355104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 270931600 + 130622041 = 16460^2 + 11429^2 .

It is a cyclic number.

It is not a de Polignac number, because 401553641 - 2²⁶ = 334444777 is a prime.

It is a super-2 number, since 2×401553641² = 322490653200713762, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (401553601) 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, 200776820 + 200776821.

It is an arithmetic number, because the mean of its divisors is an integer number (200776821).

Almost surely, 2^401553641 is an apocalyptic number.

It is an amenable number.

401553641 is a deficient number, since it is larger than the sum of its proper divisors (1).

401553641 is an equidigital number, since it uses as much as digits as its factorization.

401553641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 401553641 is about 20038.8033824378. The cubic root of 401553641 is about 737.7590110448.

The spelling of 401553641 in words is "four hundred one million, five hundred fifty-three thousand, six hundred forty-one".