1331036040 has 128 divisors (see below), whose sum is σ = 4071824640. Its totient is φ = 348020736.

The previous prime is 1331036027. The next prime is 1331036041. The reversal of 1331036040 is 406301331.

It is a junction number, because it is equal to n+sod(n) for n = 1331035998 and 1331036016.

It is not an unprimeable number, because it can be changed into a prime (1331036041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396204 + ... + 1397156.

It is an arithmetic number, because the mean of its divisors is an integer number (31811130).

Almost surely, 2^1331036040 is an apocalyptic number.

1331036040 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 1331036040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035912320).

1331036040 is an abundant number, since it is smaller than the sum of its proper divisors (2740788600).

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

1331036040 is a wasteful number, since it uses less digits than its factorization.

1331036040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1331036040 is about 36483.3666209685. The cubic root of 1331036040 is about 1100.0099282850.

Adding to 1331036040 its reverse (406301331), we get a palindrome (1737337371).

The spelling of 1331036040 in words is "one billion, three hundred thirty-one million, thirty-six thousand, forty".