1386713671200 has 2304 divisors, whose sum is σ = 6194078553600. Its totient is φ = 294794035200.

The previous prime is 1386713671163. The next prime is 1386713671219. The reversal of 1386713671200 is 21763176831.

1386713671200 is a `hidden beast` number, since 1 + 3 + 86 + 7 + 1 + 367 + 1 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10121997532 + ... + 10121997668.

It is an arithmetic number, because the mean of its divisors is an integer number (2688402150).

Almost surely, 2^{1386713671200} is an apocalyptic number.

1386713671200 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 1386713671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097039276800).

1386713671200 is an abundant number, since it is smaller than the sum of its proper divisors (4807364882400).

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

1386713671200 is a wasteful number, since it uses less digits than its factorization.

1386713671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1386713671200 in words is "one trillion, three hundred eighty-six billion, seven hundred thirteen million, six hundred seventy-one thousand, two hundred".