1331004640 has 192 divisors, whose sum is σ = 3725568000. Its totient is φ = 449100288.

The previous prime is 1331004617. The next prime is 1331004673. The reversal of 1331004640 is 464001331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4335367 + ... + 4335673.

It is an arithmetic number, because the mean of its divisors is an integer number (19404000).

Almost surely, 2^1331004640 is an apocalyptic number.

1331004640 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 1331004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862784000).

1331004640 is an abundant number, since it is smaller than the sum of its proper divisors (2394563360).

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

1331004640 is an equidigital number, since it uses as much as digits as its factorization.

1331004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1331004640 is about 36482.9362853376. The cubic root of 1331004640 is about 1100.0012782354.

Adding to 1331004640 its reverse (464001331), we get a palindrome (1795005971).

The spelling of 1331004640 in words is "one billion, three hundred thirty-one million, four thousand, six hundred forty".