11343310400 has 84 divisors (see below), whose sum is σ = 28099550100. Its totient is φ = 4506777600.

The previous prime is 11343310399. The next prime is 11343310417. The reversal of 11343310400 is 401334311.

It can be written as a sum of positive squares in 6 ways, for example, as 646786624 + 10696523776 = 25432^2 + 103424^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 214610 + ... + 262190.

Almost surely, 2^11343310400 is an apocalyptic number.

11343310400 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 11343310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049775050).

11343310400 is an abundant number, since it is smaller than the sum of its proper divisors (16756239700).

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

11343310400 is a wasteful number, since it uses less digits than its factorization.

11343310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47752 (or 47737 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11343310400 its reverse (401334311), we get a palindrome (11744644711).

The spelling of 11343310400 in words is "eleven billion, three hundred forty-three million, three hundred ten thousand, four hundred".