1361803121280 has 1024 divisors, whose sum is σ = 5950402560000. Its totient is φ = 287452053504.

The previous prime is 1361803121249. The next prime is 1361803121297. The reversal of 1361803121280 is 821213081631.

1361803121280 is a `hidden beast` number, since 1 + 3 + 61 + 8 + 0 + 312 + 1 + 280 = 666.

It is a super-2 number, since 2×1361803121280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80671881 + ... + 80688759.

It is an arithmetic number, because the mean of its divisors is an integer number (5810940000).

Almost surely, 2^{1361803121280} is an apocalyptic number.

1361803121280 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 1361803121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975201280000).

1361803121280 is an abundant number, since it is smaller than the sum of its proper divisors (4588599438720).

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

1361803121280 is a wasteful number, since it uses less digits than its factorization.

1361803121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16966 (or 16948 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1361803121280 in words is "one trillion, three hundred sixty-one billion, eight hundred three million, one hundred twenty-one thousand, two hundred eighty".