1386753994080 has 2304 divisors, whose sum is σ = 6503148288000. Its totient is φ = 276531978240.

The previous prime is 1386753994057. The next prime is 1386753994081. The reversal of 1386753994080 is 804993576831.

1386753994080 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 7 + 539 + 94 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1386753993999 and 1386753994017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386753994081) 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 383 ways as a sum of consecutive naturals, for example, 3293952270 + ... + 3293952690.

It is an arithmetic number, because the mean of its divisors is an integer number (2822547000).

Almost surely, 2^{1386753994080} is an apocalyptic number.

1386753994080 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 1386753994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251574144000).

1386753994080 is an abundant number, since it is smaller than the sum of its proper divisors (5116394293920).

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

1386753994080 is a wasteful number, since it uses less digits than its factorization.

1386753994080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1386753994080 in words is "one trillion, three hundred eighty-six billion, seven hundred fifty-three million, nine hundred ninety-four thousand, eighty".