1361072160000 has 1260 divisors, whose sum is σ = 5820739042272. Its totient is φ = 310915584000.

The previous prime is 1361072159971. The next prime is 1361072160031. The reversal of 1361072160000 is 612701631.

1361072160000 is a `hidden beast` number, since 1 + 36 + 1 + 0 + 7 + 21 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 816479167 + ... + 816480833.

Almost surely, 2^{1361072160000} is an apocalyptic number.

1361072160000 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 1361072160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910369521136).

1361072160000 is an abundant number, since it is smaller than the sum of its proper divisors (4459666882272).

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

1361072160000 is an frugal number, since it uses more digits than its factorization.

1361072160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 1361072160000 its reverse (612701631), we get a palindrome (1361684861631).

The spelling of 1361072160000 in words is "one trillion, three hundred sixty-one billion, seventy-two million, one hundred sixty thousand".