1361206361344 has 144 divisors (see below), whose sum is σ = 2971604482560. Its totient is φ = 619512791040.

The previous prime is 1361206361309. The next prime is 1361206361401. The reversal of 1361206361344 is 4431636021631.

It is a junction number, because it is equal to n+sod(n) for n = 1361206361297 and 1361206361306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396504652 + ... + 396508084.

It is an arithmetic number, because the mean of its divisors is an integer number (20636142240).

Almost surely, 2^{1361206361344} 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 1361206361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485802241280).

1361206361344 is an abundant number, since it is smaller than the sum of its proper divisors (1610398121216).

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

1361206361344 is a wasteful number, since it uses less digits than its factorization.

1361206361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 1361206361344 in words is "one trillion, three hundred sixty-one billion, two hundred six million, three hundred sixty-one thousand, three hundred forty-four".