11234441413000 has 256 divisors, whose sum is σ = 28484573644800. Its totient is φ = 4122681753600.

The previous prime is 11234441412989. The next prime is 11234441413003. The reversal of 11234441413000 is 31414443211.

It is a self number, because there is not a number n which added to its sum of digits gives 11234441413000.

It is not an unprimeable number, because it can be changed into a prime (11234441413003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4714409809 + ... + 4714412191.

It is an arithmetic number, because the mean of its divisors is an integer number (111267865800).

Almost surely, 2^{11234441413000} is an apocalyptic number.

11234441413000 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 11234441413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242286822400).

11234441413000 is an abundant number, since it is smaller than the sum of its proper divisors (17250132231800).

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

11234441413000 is a wasteful number, since it uses less digits than its factorization.

11234441413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11234441413000 its reverse (31414443211), we get a palindrome (11265855856211).

The spelling of 11234441413000 in words is "eleven trillion, two hundred thirty-four billion, four hundred forty-one million, four hundred thirteen thousand".