1138919040 has 384 divisors, whose sum is σ = 4597931520. Its totient is φ = 254361600.

The previous prime is 1138919011. The next prime is 1138919077. The reversal of 1138919040 is 409198311.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1138918986 and 1138919004.

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 47 ways as a sum of consecutive naturals, for example, 1894740 + ... + 1895340.

It is an arithmetic number, because the mean of its divisors is an integer number (11973780).

Almost surely, 2^1138919040 is an apocalyptic number.

1138919040 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 1138919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298965760).

1138919040 is an abundant number, since it is smaller than the sum of its proper divisors (3459012480).

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

1138919040 is a wasteful number, since it uses less digits than its factorization.

1138919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1138919040 is about 33747.8745997433. The cubic root of 1138919040 is about 1044.3136416178.

The spelling of 1138919040 in words is "one billion, one hundred thirty-eight million, nine hundred nineteen thousand, forty".