1918440000 has 315 divisors, whose sum is σ = 6966795693. Its totient is φ = 504576000.

The previous prime is 1918439989. The next prime is 1918440001. The reversal of 1918440000 is 448191.

The square root of 1918440000 is 43800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1360724544 + 557715456 = 36888^2 + 23616^2 .

It is not an unprimeable number, because it can be changed into a prime (1918440001) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 26279964 + ... + 26280036.

Almost surely, 2^1918440000 is an apocalyptic number.

1918440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1918440000 is the 43800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1918440000

1918440000 is an abundant number, since it is smaller than the sum of its proper divisors (5048355693).

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

1918440000 is an frugal number, since it uses more digits than its factorization.

1918440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 1918440000 is about 1242.5562943185.

Adding to 1918440000 its reverse (448191), we get a palindrome (1918888191).

The spelling of 1918440000 in words is "one billion, nine hundred eighteen million, four hundred forty thousand".