1331440320 has 224 divisors, whose sum is σ = 4857292800. Its totient is φ = 302690304.

The previous prime is 1331440249. The next prime is 1331440337. The reversal of 1331440320 is 230441331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1605666 + ... + 1606494.

Almost surely, 2^1331440320 is an apocalyptic number.

1331440320 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 1331440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428646400).

1331440320 is an abundant number, since it is smaller than the sum of its proper divisors (3525852480).

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

1331440320 is a wasteful number, since it uses less digits than its factorization.

1331440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1331440320 is about 36488.9068074120. The cubic root of 1331440320 is about 1100.1212869018.

Adding to 1331440320 its reverse (230441331), we get a palindrome (1561881651).

The spelling of 1331440320 in words is "one billion, three hundred thirty-one million, four hundred forty thousand, three hundred twenty".