1362741216000 has 288 divisors, whose sum is σ = 4792606273728. Its totient is φ = 342020915200.

The previous prime is 1362741215999. The next prime is 1362741216007. The reversal of 1362741216000 is 6121472631.

It is not an unprimeable number, because it can be changed into a prime (1362741216007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214494 + ... + 2049506.

It is an arithmetic number, because the mean of its divisors is an integer number (16640994006).

Almost surely, 2^{1362741216000} is an apocalyptic number.

1362741216000 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 1362741216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396303136864).

1362741216000 is an abundant number, since it is smaller than the sum of its proper divisors (3429865057728).

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

1362741216000 is an equidigital number, since it uses as much as digits as its factorization.

1362741216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835064 (or 835040 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 1362741216000 its reverse (6121472631), we get a palindrome (1368862688631).

The spelling of 1362741216000 in words is "one trillion, three hundred sixty-two billion, seven hundred forty-one million, two hundred sixteen thousand".