1404205311241 has 2 divisors, whose sum is σ = 1404205311242. Its totient is φ = 1404205311240.

The previous prime is 1404205311233. The next prime is 1404205311247. The reversal of 1404205311241 is 1421135024041.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1145694077641 + 258511233600 = 1070371^2 + 508440^2 .

It is a cyclic number.

It is not a de Polignac number, because 1404205311241 - 2³ = 1404205311233 is a prime.

It is a super-2 number, since 2×1404205311241² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1404205311247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702102655620 + 702102655621.

It is an arithmetic number, because the mean of its divisors is an integer number (702102655621).

Almost surely, 2^{1404205311241} is an apocalyptic number.

It is an amenable number.

1404205311241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1404205311241 is an equidigital number, since it uses as much as digits as its factorization.

1404205311241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 1404205311241 in words is "one trillion, four hundred four billion, two hundred five million, three hundred eleven thousand, two hundred forty-one".