1141340200 has 192 divisors, whose sum is σ = 3563521920. Its totient is φ = 328320000.

The previous prime is 1141340197. The next prime is 1141340209. The reversal of 1141340200 is 20431411.

1141340200 = T₅₁ + T₅₂ + ... + T₁₈₉₈.

1141340200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1141340209) 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 47 ways as a sum of consecutive naturals, for example, 197350 + ... + 203050.

It is an arithmetic number, because the mean of its divisors is an integer number (18560010).

Almost surely, 2^1141340200 is an apocalyptic number.

1141340200 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 1141340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781760960).

1141340200 is an abundant number, since it is smaller than the sum of its proper divisors (2422181720).

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

1141340200 is a wasteful number, since it uses less digits than its factorization.

1141340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1141340200 is about 33783.7268518439. The cubic root of 1141340200 is about 1045.0531325289.

Adding to 1141340200 its reverse (20431411), we get a palindrome (1161771611).

The spelling of 1141340200 in words is "one billion, one hundred forty-one million, three hundred forty thousand, two hundred".