1320416400 has 240 divisors, whose sum is σ = 4608187200. Its totient is φ = 321914880.

The previous prime is 1320416389. The next prime is 1320416423. The reversal of 1320416400 is 46140231.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660202 + ... + 662198.

It is an arithmetic number, because the mean of its divisors is an integer number (19200780).

Almost surely, 2^1320416400 is an apocalyptic number.

1320416400 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 1320416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304093600).

1320416400 is an abundant number, since it is smaller than the sum of its proper divisors (3287770800).

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

1320416400 is a wasteful number, since it uses less digits than its factorization.

1320416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1320416400 is about 36337.5343137093. The cubic root of 1320416400 is about 1097.0766455036.

Adding to 1320416400 its reverse (46140231), we get a palindrome (1366556631).

The spelling of 1320416400 in words is "one billion, three hundred twenty million, four hundred sixteen thousand, four hundred".