1316160424400 has 120 divisors (see below), whose sum is σ = 3215140051200. Its totient is φ = 517635878400.

The previous prime is 1316160424399. The next prime is 1316160424433. The reversal of 1316160424400 is 44240616131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75118841 + ... + 75136359.

It is an arithmetic number, because the mean of its divisors is an integer number (26792833760).

Almost surely, 2^{1316160424400} is an apocalyptic number.

1316160424400 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 1316160424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607570025600).

1316160424400 is an abundant number, since it is smaller than the sum of its proper divisors (1898979626800).

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

1316160424400 is a wasteful number, since it uses less digits than its factorization.

1316160424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20677 (or 20666 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 1316160424400 in words is "one trillion, three hundred sixteen billion, one hundred sixty million, four hundred twenty-four thousand, four hundred".