1138964640 has 192 divisors, whose sum is σ = 4144452480. Its totient is φ = 259850240.

The previous prime is 1138964639. The next prime is 1138964681. The reversal of 1138964640 is 464698311.

It is a junction number, because it is equal to n+sod(n) for n = 1138964592 and 1138964601.

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 31 ways as a sum of consecutive naturals, for example, 83416 + ... + 96104.

It is an arithmetic number, because the mean of its divisors is an integer number (21585690).

Almost surely, 2^1138964640 is an apocalyptic number.

1138964640 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 1138964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072226240).

1138964640 is an abundant number, since it is smaller than the sum of its proper divisors (3005487840).

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

1138964640 is a wasteful number, since it uses less digits than its factorization.

1138964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735 (or 12727 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1138964640 is about 33748.5501910823. The cubic root of 1138964640 is about 1044.3275788293.

The spelling of 1138964640 in words is "one billion, one hundred thirty-eight million, nine hundred sixty-four thousand, six hundred forty".