401541411442057 has 2 divisors, whose sum is σ = 401541411442058. Its totient is φ = 401541411442056.

The previous prime is 401541411441979. The next prime is 401541411442091. The reversal of 401541411442057 is 750244114145104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385956318184441 + 15585093257616 = 19645771^2 + 3947796^2 .

It is a cyclic number.

It is not a de Polignac number, because 401541411442057 - 2³⁹ = 400991655628169 is a prime.

It is a super-2 number, since 2×401541411442057² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401541711442057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200770705721028 + 200770705721029.

It is an arithmetic number, because the mean of its divisors is an integer number (200770705721029).

Almost surely, 2^{401541411442057} is an apocalyptic number.

It is an amenable number.

401541411442057 is a deficient number, since it is larger than the sum of its proper divisors (1).

401541411442057 is an equidigital number, since it uses as much as digits as its factorization.

401541411442057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 358400, while the sum is 43.

The spelling of 401541411442057 in words is "four hundred one trillion, five hundred forty-one billion, four hundred eleven million, four hundred forty-two thousand, fifty-seven".