1361318400 has 600 divisors, whose sum is σ = 5479625844. Its totient is φ = 331776000.

The previous prime is 1361318389. The next prime is 1361318417. The reversal of 1361318400 is 48131631.

1361318400 is a `hidden beast` number, since 1 + 3 + 613 + 1 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 620607744 + 740710656 = 24912^2 + 27216^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13478350 + ... + 13478450.

Almost surely, 2^1361318400 is an apocalyptic number.

1361318400 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 1361318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739812922).

1361318400 is an abundant number, since it is smaller than the sum of its proper divisors (4118307444).

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

1361318400 is a wasteful number, since it uses less digits than its factorization.

1361318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1361318400 is about 36896.0485689186. The cubic root of 1361318400 is about 1108.2895497179.

The spelling of 1361318400 in words is "one billion, three hundred sixty-one million, three hundred eighteen thousand, four hundred".