1404133361 has 2 divisors, whose sum is σ = 1404133362. Its totient is φ = 1404133360.

The previous prime is 1404133349. The next prime is 1404133363. The reversal of 1404133361 is 1633314041.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1400256400 + 3876961 = 37420^2 + 1969^2 .

It is an emirp because it is prime and its reverse (1633314041) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1404133361 - 2¹⁰ = 1404132337 is a prime.

Together with 1404133363, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1404133361.

It is not a weakly prime, because it can be changed into another prime (1404133363) 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, 702066680 + 702066681.

It is an arithmetic number, because the mean of its divisors is an integer number (702066681).

Almost surely, 2^1404133361 is an apocalyptic number.

It is an amenable number.

1404133361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1404133361 is an equidigital number, since it uses as much as digits as its factorization.

1404133361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1404133361 is about 37471.7675190269. The cubic root of 1404133361 is about 1119.7887997276.

The spelling of 1404133361 in words is "one billion, four hundred four million, one hundred thirty-three thousand, three hundred sixty-one".