1386513313920 has 960 divisors, whose sum is σ = 5825563464600. Its totient is φ = 313305366528.

The previous prime is 1386513313847. The next prime is 1386513313931. The reversal of 1386513313920 is 293133156831.

1386513313920 is a `hidden beast` number, since 1 + 3 + 86 + 513 + 3 + 1 + 39 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1244010083904 + 142503230016 = 1115352^2 + 377496^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 226071174 + ... + 226077306.

Almost surely, 2^{1386513313920} is an apocalyptic number.

1386513313920 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 1386513313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912781732300).

1386513313920 is an abundant number, since it is smaller than the sum of its proper divisors (4439050150680).

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

1386513313920 is an equidigital number, since it uses as much as digits as its factorization.

1386513313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 1386513313920 in words is "one trillion, three hundred eighty-six billion, five hundred thirteen million, three hundred thirteen thousand, nine hundred twenty".