1314404240 has 80 divisors (see below), whose sum is σ = 3190014576. Its totient is φ = 503193600.

The previous prime is 1314404239. The next prime is 1314404279. The reversal of 1314404240 is 424044131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 177635584 + 1136768656 = 13328^2 + 33716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1314404240² = 3455317012259955200, which contains 22 as substring.

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, 170060 + ... + 177620.

Almost surely, 2^1314404240 is an apocalyptic number.

1314404240 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 1314404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595007288).

1314404240 is an abundant number, since it is smaller than the sum of its proper divisors (1875610336).

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

1314404240 is a wasteful number, since it uses less digits than its factorization.

1314404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7668 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1314404240 is about 36254.7133487496. The cubic root of 1314404240 is about 1095.4090310405.

Adding to 1314404240 its reverse (424044131), we get a palindrome (1738448371).

The spelling of 1314404240 in words is "one billion, three hundred fourteen million, four hundred four thousand, two hundred forty".