1388374827840 has 5376 divisors, whose sum is σ = 7565438361600. Its totient is φ = 234101145600.

The previous prime is 1388374827803. The next prime is 1388374827841. The reversal of 1388374827840 is 487284738831.

It is a happy number.

1388374827840 is a `hidden beast` number, since 1 + 3 + 8 + 83 + 7 + 482 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388374827841) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 19554575005 + ... + 19554575075.

It is an arithmetic number, because the mean of its divisors is an integer number (1407261600).

Almost surely, 2^{1388374827840} is an apocalyptic number.

1388374827840 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 1388374827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782719180800).

1388374827840 is an abundant number, since it is smaller than the sum of its proper divisors (6177063533760).

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

1388374827840 is a wasteful number, since it uses less digits than its factorization.

1388374827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 1388374827840 in words is "one trillion, three hundred eighty-eight billion, three hundred seventy-four million, eight hundred twenty-seven thousand, eight hundred forty".