1404114431221 has 2 divisors, whose sum is σ = 1404114431222. Its totient is φ = 1404114431220.

The previous prime is 1404114431219. The next prime is 1404114431233. The reversal of 1404114431221 is 1221344114041.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1005146604900 + 398967826321 = 1002570^2 + 631639^2 .

It is a cyclic number.

It is not a de Polignac number, because 1404114431221 - 2¹ = 1404114431219 is a prime.

Together with 1404114431219, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1404114431221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1404114411221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702057215610 + 702057215611.

It is an arithmetic number, because the mean of its divisors is an integer number (702057215611).

Almost surely, 2^{1404114431221} is an apocalyptic number.

It is an amenable number.

1404114431221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1404114431221 is an equidigital number, since it uses as much as digits as its factorization.

1404114431221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1404114431221 its reverse (1221344114041), we get a palindrome (2625458545262).

The spelling of 1404114431221 in words is "one trillion, four hundred four billion, one hundred fourteen million, four hundred thirty-one thousand, two hundred twenty-one".