1320334400 has 252 divisors, whose sum is σ = 4125535056. Its totient is φ = 411264000.

The previous prime is 1320334373. The next prime is 1320334471. The reversal of 1320334400 is 44330231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 861635 + ... + 863165.

Almost surely, 2^1320334400 is an apocalyptic number.

1320334400 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 1320334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062767528).

1320334400 is an abundant number, since it is smaller than the sum of its proper divisors (2805200656).

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

1320334400 is a wasteful number, since it uses less digits than its factorization.

1320334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1320334400 is about 36336.4059862832. The cubic root of 1320334400 is about 1097.0539349538.

Adding to 1320334400 its reverse (44330231), we get a palindrome (1364664631).

The spelling of 1320334400 in words is "one billion, three hundred twenty million, three hundred thirty-four thousand, four hundred".