1138385888640 has 3072 divisors, whose sum is σ = 5659431321600. Its totient is φ = 210213273600.

The previous prime is 1138385888587. The next prime is 1138385888699. The reversal of 1138385888640 is 468885838311.

1138385888640 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 8 + 588 + 8 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5898372384 + ... + 5898372576.

It is an arithmetic number, because the mean of its divisors is an integer number (1842262800).

Almost surely, 2^{1138385888640} is an apocalyptic number.

1138385888640 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 1138385888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829715660800).

1138385888640 is an abundant number, since it is smaller than the sum of its proper divisors (4521045432960).

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

1138385888640 is a wasteful number, since it uses less digits than its factorization.

1138385888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 1138385888640 in words is "one trillion, one hundred thirty-eight billion, three hundred eighty-five million, eight hundred eighty-eight thousand, six hundred forty".