1316448000 has 432 divisors, whose sum is σ = 5421963456. Its totient is φ = 300441600.

The previous prime is 1316447939. The next prime is 1316448043. The reversal of 1316448000 is 8446131.

1316448000 is a `hidden beast` number, since 13 + 1 + 644 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

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, 2015674 + ... + 2016326.

Almost surely, 2^1316448000 is an apocalyptic number.

1316448000 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 1316448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710981728).

1316448000 is an abundant number, since it is smaller than the sum of its proper divisors (4105515456).

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

1316448000 is an equidigital number, since it uses as much as digits as its factorization.

1316448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1316448000 is about 36282.8885288920. Note that the first 3 decimals coincide. The cubic root of 1316448000 is about 1095.9764855452.

The spelling of 1316448000 in words is "one billion, three hundred sixteen million, four hundred forty-eight thousand".