1316561400 has 864 divisors, whose sum is σ = 5954083200. Its totient is φ = 257241600.

The previous prime is 1316561371. The next prime is 1316561429. The reversal of 1316561400 is 41656131.

1316561400 is a `hidden beast` number, since 1 + 3 + 1 + 656 + 1 + 4 + 0 + 0 = 666.

1316561400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1316561371) and next prime (1316561429).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22314571 + ... + 22314629.

It is an arithmetic number, because the mean of its divisors is an integer number (6891300).

Almost surely, 2^1316561400 is an apocalyptic number.

1316561400 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 1316561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977041600).

1316561400 is an abundant number, since it is smaller than the sum of its proper divisors (4637521800).

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

1316561400 is a wasteful number, since it uses less digits than its factorization.

1316561400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1316561400 is about 36284.4512153622. The cubic root of 1316561400 is about 1096.0079541043.

The spelling of 1316561400 in words is "one billion, three hundred sixteen million, five hundred sixty-one thousand, four hundred".