1361379444864 has 128 divisors (see below), whose sum is σ = 3759655193280. Its totient is φ = 436116848640.

The previous prime is 1361379444829. The next prime is 1361379444917. The reversal of 1361379444864 is 4684449731631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1361379444798 and 1361379444807.

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 15 ways as a sum of consecutive naturals, for example, 409552 + ... + 1700144.

Almost surely, 2^{1361379444864} 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 1361379444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879827596640).

1361379444864 is an abundant number, since it is smaller than the sum of its proper divisors (2398275748416).

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

1361379444864 is a wasteful number, since it uses less digits than its factorization.

1361379444864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290718 (or 1290706 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 1361379444864 in words is "one trillion, three hundred sixty-one billion, three hundred seventy-nine million, four hundred forty-four thousand, eight hundred sixty-four".