1380093741216 has 336 divisors, whose sum is σ = 4177610527104. Its totient is φ = 448444035072.

The previous prime is 1380093741193. The next prime is 1380093741217. The reversal of 1380093741216 is 6121473900831.

1380093741216 is a `hidden beast` number, since 138 + 0 + 0 + 93 + 7 + 412 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (1380093741217) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 151604121 + ... + 151613223.

It is an arithmetic number, because the mean of its divisors is an integer number (12433364664).

Almost surely, 2^{1380093741216} is an apocalyptic number.

1380093741216 is a gapful number since it is divisible by the number (16) 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 1380093741216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088805263552).

1380093741216 is an abundant number, since it is smaller than the sum of its proper divisors (2797516785888).

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

1380093741216 is an frugal number, since it uses more digits than its factorization.

1380093741216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295 (or 9272 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1380093741216 in words is "one trillion, three hundred eighty billion, ninety-three million, seven hundred forty-one thousand, two hundred sixteen".