1138083840 has 288 divisors, whose sum is σ = 4036064760. Its totient is φ = 296484864.

The previous prime is 1138083763. The next prime is 1138083901. The reversal of 1138083840 is 483808311.

It can be written as a sum of positive squares in 4 ways, for example, as 868598784 + 269485056 = 29472^2 + 16416^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1138083795 and 1138083804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4884364 + ... + 4884596.

Almost surely, 2^1138083840 is an apocalyptic number.

1138083840 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 1138083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018032380).

1138083840 is an abundant number, since it is smaller than the sum of its proper divisors (2897980920).

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

1138083840 is a wasteful number, since it uses less digits than its factorization.

1138083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1138083840 is about 33735.4982177528. The cubic root of 1138083840 is about 1044.0583047545.

The spelling of 1138083840 in words is "one billion, one hundred thirty-eight million, eighty-three thousand, eight hundred forty".