1331410240 has 56 divisors (see below), whose sum is σ = 3190734792. Its totient is φ = 529152000.

The previous prime is 1331410207. The next prime is 1331410259. The reversal of 1331410240 is 420141331.

It can be written as a sum of positive squares in 4 ways, for example, as 24443136 + 1306967104 = 4944^2 + 36152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36990 + ... + 63490.

It is an arithmetic number, because the mean of its divisors is an integer number (56977407).

Almost surely, 2^1331410240 is an apocalyptic number.

1331410240 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 1331410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595367396).

1331410240 is an abundant number, since it is smaller than the sum of its proper divisors (1859324552).

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

1331410240 is a wasteful number, since it uses less digits than its factorization.

1331410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26675 (or 26665 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1331410240 is about 36488.4946250184. The cubic root of 1331410240 is about 1100.1130021651.

Adding to 1331410240 its reverse (420141331), we get a palindrome (1751551571).

The spelling of 1331410240 in words is "one billion, three hundred thirty-one million, four hundred ten thousand, two hundred forty".