11416405000 has 320 divisors, whose sum is σ = 35929998720. Its totient is φ = 3283200000.

The previous prime is 11416404997. The next prime is 11416405001. The reversal of 11416405000 is 50461411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11416405001) 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 79 ways as a sum of consecutive naturals, for example, 5003860 + ... + 5006140.

It is an arithmetic number, because the mean of its divisors is an integer number (112281246).

Almost surely, 2^11416405000 is an apocalyptic number.

11416405000 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 11416405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964999360).

11416405000 is an abundant number, since it is smaller than the sum of its proper divisors (24513593720).

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

11416405000 is a wasteful number, since it uses less digits than its factorization.

11416405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11416405000 its reverse (50461411), we get a palindrome (11466866411).

The spelling of 11416405000 in words is "eleven billion, four hundred sixteen million, four hundred five thousand".