1386597139200 has 4860 divisors, whose sum is σ = 7197744236760. Its totient is φ = 260855562240.

The previous prime is 1386597139189. The next prime is 1386597139201. The reversal of 1386597139200 is 29317956831.

1386597139200 is a `hidden beast` number, since 1 + 38 + 6 + 597 + 13 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386597139201) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 72978796791 + ... + 72978796809.

Almost surely, 2^{1386597139200} is an apocalyptic number.

1386597139200 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 1386597139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598872118380).

1386597139200 is an abundant number, since it is smaller than the sum of its proper divisors (5811147097560).

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

1386597139200 is a wasteful number, since it uses less digits than its factorization.

1386597139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1386597139200 in words is "one trillion, three hundred eighty-six billion, five hundred ninety-seven million, one hundred thirty-nine thousand, two hundred".