1388056478940 has 288 divisors, whose sum is σ = 4399581251520. Its totient is φ = 367345207296.

The previous prime is 1388056478929. The next prime is 1388056478953. The reversal of 1388056478940 is 498746508831.

1388056478940 is a `hidden beast` number, since 1 + 38 + 80 + 56 + 478 + 9 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 362131264 + ... + 362135096.

It is an arithmetic number, because the mean of its divisors is an integer number (15276323790).

Almost surely, 2^{1388056478940} is an apocalyptic number.

1388056478940 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 1388056478940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199790625760).

1388056478940 is an abundant number, since it is smaller than the sum of its proper divisors (3011524772580).

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

1388056478940 is a wasteful number, since it uses less digits than its factorization.

1388056478940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1388056478940 in words is "one trillion, three hundred eighty-eight billion, fifty-six million, four hundred seventy-eight thousand, nine hundred forty".