1331705440 has 192 divisors, whose sum is σ = 3684925440. Its totient is φ = 450385920.

The previous prime is 1331705423. The next prime is 1331705447. The reversal of 1331705440 is 445071331.

It is a junction number, because it is equal to n+sod(n) for n = 1331705399 and 1331705408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331705447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224577 + ... + 1225663.

It is an arithmetic number, because the mean of its divisors is an integer number (19192320).

Almost surely, 2^1331705440 is an apocalyptic number.

1331705440 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 1331705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842462720).

1331705440 is an abundant number, since it is smaller than the sum of its proper divisors (2353220000).

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

1331705440 is a wasteful number, since it uses less digits than its factorization.

1331705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 1331705440 is about 36492.5395115221. The cubic root of 1331705440 is about 1100.1943017651.

Adding to 1331705440 its reverse (445071331), we get a palindrome (1776776771).

The spelling of 1331705440 in words is "one billion, three hundred thirty-one million, seven hundred five thousand, four hundred forty".