1314000441 has 64 divisors (see below), whose sum is σ = 2178570240. Its totient is φ = 777288960.

The previous prime is 1314000437. The next prime is 1314000487. The reversal of 1314000441 is 1440004131.

It is not a de Polignac number, because 1314000441 - 2² = 1314000437 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1314000491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2143251 + ... + 2143863.

It is an arithmetic number, because the mean of its divisors is an integer number (34040160).

Almost surely, 2^1314000441 is an apocalyptic number.

It is an amenable number.

1314000441 is a deficient number, since it is larger than the sum of its proper divisors (864569799).

1314000441 is a wasteful number, since it uses less digits than its factorization.

1314000441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1314000441 is about 36249.1440036865. The cubic root of 1314000441 is about 1095.2968457728.

Adding to 1314000441 its reverse (1440004131), we get a palindrome (2754004572).

The spelling of 1314000441 in words is "one billion, three hundred fourteen million, four hundred forty-one", and thus it is an aban number.