401121040121104 has 20 divisors (see below), whose sum is σ = 803971050243660. Its totient is φ = 193644640058240.

The previous prime is 401121040121071. The next prime is 401121040121119.

401121040121104 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 94477233603600 + 306643806517504 = 9719940^2 + 17511248^2 .

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 432242499667 + ... + 432242500594.

It is an arithmetic number, because the mean of its divisors is an integer number (40198552512183).

Almost surely, 2^{401121040121104} is an apocalyptic number.

It is an amenable number.

401121040121104 is an abundant number, since it is smaller than the sum of its proper divisors (402850010122556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401121040121104 is a wasteful number, since it uses less digits than its factorization.

401121040121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864485000298 (or 864485000292 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 401121040121104 in words is "four hundred one trillion, one hundred twenty-one billion, forty million, one hundred twenty-one thousand, one hundred four".