1331040160 has 96 divisors (see below), whose sum is σ = 3362591232. Its totient is φ = 496128000.

The previous prime is 1331040119. The next prime is 1331040167. The reversal of 1331040160 is 610401331.

1331040160 = 42² + 43² + ... + 1586².

It is not an unprimeable number, because it can be changed into a prime (1331040167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277785 + ... + 282535.

It is an arithmetic number, because the mean of its divisors is an integer number (35026992).

Almost surely, 2^1331040160 is an apocalyptic number.

1331040160 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 1331040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681295616).

1331040160 is an abundant number, since it is smaller than the sum of its proper divisors (2031551072).

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

1331040160 is a wasteful number, since it uses less digits than its factorization.

1331040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1331040160 is about 36483.4230850122. The cubic root of 1331040160 is about 1100.0110632496.

Adding to 1331040160 its reverse (610401331), we get a palindrome (1941441491).

The spelling of 1331040160 in words is "one billion, three hundred thirty-one million, forty thousand, one hundred sixty".