1138320400 has 120 divisors (see below), whose sum is σ = 3290156480. Its totient is φ = 369722880.

The previous prime is 1138320389. The next prime is 1138320409. The reversal of 1138320400 is 40238311.

It is not an unprimeable number, because it can be changed into a prime (1138320409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42502 + ... + 63898.

Almost surely, 2^1138320400 is an apocalyptic number.

1138320400 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 1138320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645078240).

1138320400 is an abundant number, since it is smaller than the sum of its proper divisors (2151836080).

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

1138320400 is a wasteful number, since it uses less digits than its factorization.

1138320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21441 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1138320400 is about 33739.0041346807. The cubic root of 1138320400 is about 1044.1306384185.

Adding to 1138320400 its reverse (40238311), we get a palindrome (1178558711).

The spelling of 1138320400 in words is "one billion, one hundred thirty-eight million, three hundred twenty thousand, four hundred".