1388240478144 has 168 divisors, whose sum is σ = 4296425882112. Its totient is φ = 426034759680.

The previous prime is 1388240478133. The next prime is 1388240478173. The reversal of 1388240478144 is 4418740428831.

It is a happy number.

1388240478144 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 24 + 0 + 478 + 144 = 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 23 ways as a sum of consecutive naturals, for example, 2625874 + ... + 3109934.

It is an arithmetic number, because the mean of its divisors is an integer number (25573963584).

Almost surely, 2^{1388240478144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1388240478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148212941056).

1388240478144 is an abundant number, since it is smaller than the sum of its proper divisors (2908185403968).

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

1388240478144 is a wasteful number, since it uses less digits than its factorization.

1388240478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484475 (or 484462 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 1388240478144 in words is "one trillion, three hundred eighty-eight billion, two hundred forty million, four hundred seventy-eight thousand, one hundred forty-four".