11410013200 has 60 divisors (see below), whose sum is σ = 27444314880. Its totient is φ = 4558718080.

The previous prime is 11410013177. The next prime is 11410013299. The reversal of 11410013200 is 231001411.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338721 + ... + 370879.

It is an arithmetic number, because the mean of its divisors is an integer number (457405248).

Almost surely, 2^11410013200 is an apocalyptic number.

11410013200 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 11410013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722157440).

11410013200 is an abundant number, since it is smaller than the sum of its proper divisors (16034301680).

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

11410013200 is a wasteful number, since it uses less digits than its factorization.

11410013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33064 (or 33053 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11410013200 its reverse (231001411), we get a palindrome (11641014611).

The spelling of 11410013200 in words is "eleven billion, four hundred ten million, thirteen thousand, two hundred".