1388129745600 has 672 divisors, whose sum is σ = 5686484375040. Its totient is φ = 326834196480.

The previous prime is 1388129745599. The next prime is 1388129745617. The reversal of 1388129745600 is 65479218831.

1388129745600 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 1 + 2 + 9 + 74 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12863067 + ... + 12970533.

It is an arithmetic number, because the mean of its divisors is an integer number (8462030320).

It is a 1-persistent number, because it is pandigital, but 2⋅1388129745600 = 2776259491200 is not.

Almost surely, 2^{1388129745600} is an apocalyptic number.

1388129745600 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 1388129745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843242187520).

1388129745600 is an abundant number, since it is smaller than the sum of its proper divisors (4298354629440).

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

1388129745600 is a wasteful number, since it uses less digits than its factorization.

1388129745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107534 (or 107513 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1388129745600 in words is "one trillion, three hundred eighty-eight billion, one hundred twenty-nine million, seven hundred forty-five thousand, six hundred".