1361671213600 has 72 divisors (see below), whose sum is σ = 3326400378000. Its totient is φ = 544304651520.

The previous prime is 1361671213523. The next prime is 1361671213631. The reversal of 1361671213600 is 63121761631.

It is a self number, because there is not a number n which added to its sum of digits gives 1361671213600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631459 + ... + 1766941.

It is an arithmetic number, because the mean of its divisors is an integer number (46200005250).

Almost surely, 2^{1361671213600} is an apocalyptic number.

1361671213600 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 1361671213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663200189000).

1361671213600 is an abundant number, since it is smaller than the sum of its proper divisors (1964729164400).

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

1361671213600 is a wasteful number, since it uses less digits than its factorization.

1361671213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137002 (or 1136989 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 1361671213600 in words is "one trillion, three hundred sixty-one billion, six hundred seventy-one million, two hundred thirteen thousand, six hundred".