1388808807120 has 720 divisors, whose sum is σ = 5475600945360. Its totient is φ = 314531610624.

The previous prime is 1388808807119. The next prime is 1388808807137. The reversal of 1388808807120 is 217088088831.

It can be written as a sum of positive squares in 8 ways, for example, as 4054123584 + 1384754683536 = 63672^2 + 1176756^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3207410424 + ... + 3207410856.

It is an arithmetic number, because the mean of its divisors is an integer number (7605001313).

Almost surely, 2^{1388808807120} is an apocalyptic number.

1388808807120 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 1388808807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737800472680).

1388808807120 is an abundant number, since it is smaller than the sum of its proper divisors (4086792138240).

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

1388808807120 is a wasteful number, since it uses less digits than its factorization.

1388808807120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 1388808807120 in words is "one trillion, three hundred eighty-eight billion, eight hundred eight million, eight hundred seven thousand, one hundred twenty".