1380001133616 has 160 divisors (see below), whose sum is σ = 4086381312000. Its totient is φ = 393117204480.

The previous prime is 1380001133579. The next prime is 1380001133629. The reversal of 1380001133616 is 6163311000831.

It is a happy number.

It is an unprimeable number.

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, 282264100 + ... + 282268988.

It is an arithmetic number, because the mean of its divisors is an integer number (25539883200).

Almost surely, 2^{1380001133616} is an apocalyptic number.

1380001133616 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 1380001133616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043190656000).

1380001133616 is an abundant number, since it is smaller than the sum of its proper divisors (2706380178384).

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

1380001133616 is a wasteful number, since it uses less digits than its factorization.

1380001133616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7227 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 1380001133616 in words is "one trillion, three hundred eighty billion, one million, one hundred thirty-three thousand, six hundred sixteen".