11410140200 has 144 divisors (see below), whose sum is σ = 27462304800. Its totient is φ = 4407849600.

The previous prime is 11410140199. The next prime is 11410140221. The reversal of 11410140200 is 204101411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63743711 + ... + 63743889.

It is an arithmetic number, because the mean of its divisors is an integer number (190710450).

Almost surely, 2^11410140200 is an apocalyptic number.

11410140200 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 11410140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731152400).

11410140200 is an abundant number, since it is smaller than the sum of its proper divisors (16052164600).

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

11410140200 is a wasteful number, since it uses less digits than its factorization.

11410140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11410140200 its reverse (204101411), we get a palindrome (11614241611).

The spelling of 11410140200 in words is "eleven billion, four hundred ten million, one hundred forty thousand, two hundred".