11443312400 has 120 divisors (see below), whose sum is σ = 31165921920. Its totient is φ = 4002808320.

The previous prime is 11443312399. The next prime is 11443312409. The reversal of 11443312400 is 421334411.

It is not an unprimeable number, because it can be changed into a prime (11443312409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40889 + ... + 156711.

It is an arithmetic number, because the mean of its divisors is an integer number (259716016).

Almost surely, 2^11443312400 is an apocalyptic number.

11443312400 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 11443312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582960960).

11443312400 is an abundant number, since it is smaller than the sum of its proper divisors (19722609520).

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

11443312400 is a wasteful number, since it uses less digits than its factorization.

11443312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115873 (or 115862 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 11443312400 its reverse (421334411), we get a palindrome (11864646811).

The spelling of 11443312400 in words is "eleven billion, four hundred forty-three million, three hundred twelve thousand, four hundred".