1316409600 has 432 divisors, whose sum is σ = 4963682304. Its totient is φ = 304128000.

The previous prime is 1316409599. The next prime is 1316409607. The reversal of 1316409600 is 69046131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1316409607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4857465 + ... + 4857735.

Almost surely, 2^1316409600 is an apocalyptic number.

1316409600 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 1316409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481841152).

1316409600 is an abundant number, since it is smaller than the sum of its proper divisors (3647272704).

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

1316409600 is a wasteful number, since it uses less digits than its factorization.

1316409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1316409600 is about 36282.3593499651. The cubic root of 1316409600 is about 1095.9658291156.

The spelling of 1316409600 in words is "one billion, three hundred sixteen million, four hundred nine thousand, six hundred".