1331733040 has 80 divisors (see below), whose sum is σ = 3384426240. Its totient is φ = 483311360.

The previous prime is 1331733019. The next prime is 1331733043. The reversal of 1331733040 is 403371331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1331732996 and 1331733014.

It is not an unprimeable number, because it can be changed into a prime (1331733043) 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, 568191 + ... + 570529.

It is an arithmetic number, because the mean of its divisors is an integer number (42305328).

Almost surely, 2^1331733040 is an apocalyptic number.

1331733040 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 1331733040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692213120).

1331733040 is an abundant number, since it is smaller than the sum of its proper divisors (2052693200).

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

1331733040 is a wasteful number, since it uses less digits than its factorization.

1331733040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 1331733040 is about 36492.9176690492. The cubic root of 1331733040 is about 1100.2019023330.

The spelling of 1331733040 in words is "one billion, three hundred thirty-one million, seven hundred thirty-three thousand, forty".