1361801280000 has 800 divisors, whose sum is σ = 5322090685824. Its totient is φ = 302800896000.

The previous prime is 1361801279989. The next prime is 1361801280079. The reversal of 1361801280000 is 821081631.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1361801280000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248637262 + ... + 248642738.

Almost surely, 2^{1361801280000} is an apocalyptic number.

1361801280000 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 1361801280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661045342912).

1361801280000 is an abundant number, since it is smaller than the sum of its proper divisors (3960289405824).

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

1361801280000 is an frugal number, since it uses more digits than its factorization.

1361801280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 1361801280000 in words is "one trillion, three hundred sixty-one billion, eight hundred one million, two hundred eighty thousand".