1314041000 has 64 divisors (see below), whose sum is σ = 3087424080. Its totient is φ = 523468800.

The previous prime is 1314040997. The next prime is 1314041033. The reversal of 1314041000 is 1404131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36264484 + 1277776516 = 6022^2 + 35746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254444 + ... + 259556.

Almost surely, 2^1314041000 is an apocalyptic number.

1314041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543712040).

1314041000 is an abundant number, since it is smaller than the sum of its proper divisors (1773383080).

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

1314041000 is a wasteful number, since it uses less digits than its factorization.

1314041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5391 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1314041000 is about 36249.7034470628. The cubic root of 1314041000 is about 1095.3081150962.

Adding to 1314041000 its reverse (1404131), we get a palindrome (1315445131).

The spelling of 1314041000 in words is "one billion, three hundred fourteen million, forty-one thousand".