1386646784640 has 2304 divisors, whose sum is σ = 5941343001600. Its totient is φ = 305021583360.

The previous prime is 1386646784617. The next prime is 1386646784687. The reversal of 1386646784640 is 464876466831.

It is a happy number.

1386646784640 is a `hidden beast` number, since 1 + 3 + 8 + 66 + 46 + 78 + 464 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 26163146854 + ... + 26163146906.

It is an arithmetic number, because the mean of its divisors is an integer number (2578707900).

Almost surely, 2^{1386646784640} is an apocalyptic number.

1386646784640 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 1386646784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970671500800).

1386646784640 is an abundant number, since it is smaller than the sum of its proper divisors (4554696216960).

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

1386646784640 is a wasteful number, since it uses less digits than its factorization.

1386646784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 1386646784640 in words is "one trillion, three hundred eighty-six billion, six hundred forty-six million, seven hundred eighty-four thousand, six hundred forty".