1411116200 has 144 divisors (see below), whose sum is σ = 3602581920. Its totient is φ = 513726720.

The previous prime is 1411116197. The next prime is 1411116209. The reversal of 1411116200 is 26111141.

It is not an unprimeable number, because it can be changed into a prime (1411116209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2805149 + ... + 2805651.

It is an arithmetic number, because the mean of its divisors is an integer number (25017930).

Almost surely, 2^1411116200 is an apocalyptic number.

1411116200 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 1411116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801290960).

1411116200 is an abundant number, since it is smaller than the sum of its proper divisors (2191465720).

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

1411116200 is a wasteful number, since it uses less digits than its factorization.

1411116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1411116200 is about 37564.8266334346. The cubic root of 1411116200 is about 1121.6419899481.

Adding to 1411116200 its reverse (26111141), we get a palindrome (1437227341).

The spelling of 1411116200 in words is "one billion, four hundred eleven million, one hundred sixteen thousand, two hundred".