1331414406 has 48 divisors (see below), whose sum is σ = 3322834944. Its totient is φ = 377404272.

The previous prime is 1331414393. The next prime is 1331414407. The reversal of 1331414406 is 6044141331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331414406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331414407) 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 in 23 ways as a sum of consecutive naturals, for example, 25600 + ... + 57603.

It is an arithmetic number, because the mean of its divisors is an integer number (69225728).

Almost surely, 2^1331414406 is an apocalyptic number.

1331414406 is an abundant number, since it is smaller than the sum of its proper divisors (1991420538).

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

1331414406 is a wasteful number, since it uses less digits than its factorization.

1331414406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83345 (or 83342 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1331414406 is about 36488.5517114615. The cubic root of 1331414406 is about 1100.1141495865.

Adding to 1331414406 its reverse (6044141331), we get a palindrome (7375555737).

The spelling of 1331414406 in words is "one billion, three hundred thirty-one million, four hundred fourteen thousand, four hundred six".