1138410000 has 600 divisors, whose sum is σ = 4935170240. Its totient is φ = 238464000.

The previous prime is 1138409959. The next prime is 1138410017. The reversal of 1138410000 is 148311.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8189931 + ... + 8190069.

Almost surely, 2^1138410000 is an apocalyptic number.

1138410000 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 1138410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467585120).

1138410000 is an abundant number, since it is smaller than the sum of its proper divisors (3796760240).

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

1138410000 is a wasteful number, since it uses less digits than its factorization.

1138410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1138410000 is about 33740.3319485745. The cubic root of 1138410000 is about 1044.1580330637.

Adding to 1138410000 its reverse (148311), we get a palindrome (1138558311).

The spelling of 1138410000 in words is "one billion, one hundred thirty-eight million, four hundred ten thousand".