1940138200 has 288 divisors, whose sum is σ = 6109296480. Its totient is φ = 557568000.

The previous prime is 1940138191. The next prime is 1940138237. The reversal of 1940138200 is 28310491.

It is a happy number.

1940138200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2201760 + ... + 2202640.

It is an arithmetic number, because the mean of its divisors is an integer number (21212835).

Almost surely, 2^1940138200 is an apocalyptic number.

1940138200 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 1940138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054648240).

1940138200 is an abundant number, since it is smaller than the sum of its proper divisors (4169158280).

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

1940138200 is a wasteful number, since it uses less digits than its factorization.

1940138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1940138200 is about 44046.9998978364. Note that the first 3 decimals coincide. The cubic root of 1940138200 is about 1247.2233192690.

Adding to 1940138200 its reverse (28310491), we get a palindrome (1968448691).

The spelling of 1940138200 in words is "one billion, nine hundred forty million, one hundred thirty-eight thousand, two hundred".