1940203200 has 672 divisors, whose sum is σ = 7619512320. Its totient is φ = 427622400.

The previous prime is 1940203147. The next prime is 1940203201. The reversal of 1940203200 is 23020491.

It is not an unprimeable number, because it can be changed into a prime (1940203201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32884771 + ... + 32884829.

It is an arithmetic number, because the mean of its divisors is an integer number (11338560).

Almost surely, 2^1940203200 is an apocalyptic number.

1940203200 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 1940203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809756160).

1940203200 is an abundant number, since it is smaller than the sum of its proper divisors (5679309120).

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

1940203200 is a wasteful number, since it uses less digits than its factorization.

1940203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1940203200 is about 44047.7377398658. The cubic root of 1940203200 is about 1247.2372475913.

Adding to 1940203200 its reverse (23020491), we get a palindrome (1963223691).

The spelling of 1940203200 in words is "one billion, nine hundred forty million, two hundred three thousand, two hundred".