1331310240 has 432 divisors, whose sum is σ = 5189832648. Its totient is φ = 308883456.

The previous prime is 1331310193. The next prime is 1331310247. The reversal of 1331310240 is 420131331.

1331310240 is a `hidden beast` number, since 1 + 331 + 310 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1185287184 + 146023056 = 34428^2 + 12084^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1331310247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6757822 + ... + 6758018.

Almost surely, 2^1331310240 is an apocalyptic number.

1331310240 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 1331310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594916324).

1331310240 is an abundant number, since it is smaller than the sum of its proper divisors (3858522408).

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

1331310240 is a wasteful number, since it uses less digits than its factorization.

1331310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331310240 is about 36487.1243043351. The cubic root of 1331310240 is about 1100.0854589253.

Adding to 1331310240 its reverse (420131331), we get a palindrome (1751441571).

The spelling of 1331310240 in words is "one billion, three hundred thirty-one million, three hundred ten thousand, two hundred forty".