1361318400000 has 1560 divisors, whose sum is σ = 5528187220248. Its totient is φ = 331776000000.

The previous prime is 1361318399989. The next prime is 1361318400037. The reversal of 1361318400000 is 48131631.

1361318400000 is a `hidden beast` number, since 1 + 3 + 613 + 1 + 8 + 40 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1336409985024 + 24908414976 = 1156032^2 + 157824^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

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

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 119 ways as a sum of consecutive naturals, for example, 13478399950 + ... + 13478400050.

Almost surely, 2^{1361318400000} is an apocalyptic number.

1361318400000 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 1361318400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764093610124).

1361318400000 is an abundant number, since it is smaller than the sum of its proper divisors (4166868820248).

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

1361318400000 is an frugal number, since it uses more digits than its factorization.

1361318400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 124 counting only the distinct ones).

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

The spelling of 1361318400000 in words is "one trillion, three hundred sixty-one billion, three hundred eighteen million, four hundred thousand".