401314401241 has 16 divisors (see below), whose sum is σ = 447119562960. Its totient is φ = 357644609280.

The previous prime is 401314401233. The next prime is 401314401251. The reversal of 401314401241 is 142104413104.

It can be written as a sum of positive squares in 8 ways, for example, as 72751575625 + 328562825616 = 269725^2 + 573204^2 .

It is a cyclic number.

It is not a de Polignac number, because 401314401241 - 2³ = 401314401233 is a prime.

It is a super-2 number, since 2×401314401241² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401314401251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6961251 + ... + 7018663.

It is an arithmetic number, because the mean of its divisors is an integer number (27944972685).

Almost surely, 2^401314401241 is an apocalyptic number.

It is an amenable number.

401314401241 is a deficient number, since it is larger than the sum of its proper divisors (45805161719).

401314401241 is a wasteful number, since it uses less digits than its factorization.

401314401241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75996.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 401314401241 its reverse (142104413104), we get a palindrome (543418814345).

The spelling of 401314401241 in words is "four hundred one billion, three hundred fourteen million, four hundred one thousand, two hundred forty-one".