1138105440 has 72 divisors (see below), whose sum is σ = 3883789728. Its totient is φ = 303494400.

The previous prime is 1138105417. The next prime is 1138105447. The reversal of 1138105440 is 445018311.

It is a happy number.

1138105440 is a `hidden beast` number, since 113 + 8 + 1 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138105447) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 393736 + ... + 396615.

It is an arithmetic number, because the mean of its divisors is an integer number (53941524).

Almost surely, 2^1138105440 is an apocalyptic number.

1138105440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138105440 is an abundant number, since it is smaller than the sum of its proper divisors (2745684288).

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

1138105440 is a wasteful number, since it uses less digits than its factorization.

1138105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790372 (or 790361 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1138105440 is about 33735.8183537913. The cubic root of 1138105440 is about 1044.0649098674.

The spelling of 1138105440 in words is "one billion, one hundred thirty-eight million, one hundred five thousand, four hundred forty".