1361210674304 has 64 divisors (see below), whose sum is σ = 2923378509240. Its totient is φ = 627607289856.

The previous prime is 1361210674301. The next prime is 1361210674321. The reversal of 1361210674304 is 4034760121631.

It can be written as a sum of positive squares in 4 ways, for example, as 1262207310400 + 99003363904 = 1123480^2 + 314648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1361210674301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207082 + ... + 2044374.

Almost surely, 2^{1361210674304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361210674304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461689254620).

1361210674304 is an abundant number, since it is smaller than the sum of its proper divisors (1562167834936).

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

1361210674304 is an equidigital number, since it uses as much as digits as its factorization.

1361210674304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838297 (or 838285 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

Adding to 1361210674304 its reverse (4034760121631), we get a palindrome (5395970795935).

The spelling of 1361210674304 in words is "one trillion, three hundred sixty-one billion, two hundred ten million, six hundred seventy-four thousand, three hundred four".