1386720000 has 450 divisors, whose sum is σ = 5215321188. Its totient is φ = 366336000.

The previous prime is 1386719977. The next prime is 1386720043. The reversal of 1386720000 is 276831.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 49 ways as a sum of consecutive naturals, for example, 12959947 + ... + 12960053.

Almost surely, 2^1386720000 is an apocalyptic number.

1386720000 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 1386720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607660594).

1386720000 is an abundant number, since it is smaller than the sum of its proper divisors (3828601188).

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

1386720000 is an frugal number, since it uses more digits than its factorization.

1386720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1386720000 is about 37238.6895580390. The cubic root of 1386720000 is about 1115.1405106225.

Adding to 1386720000 its reverse (276831), we get a palindrome (1386996831).

The spelling of 1386720000 in words is "one billion, three hundred eighty-six million, seven hundred twenty thousand".