11033034230400 has 768 divisors, whose sum is σ = 45026930592000. Its totient is φ = 2312198553600.

The previous prime is 11033034230371. The next prime is 11033034230417. The reversal of 11033034230400 is 403243033011.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 130124020 + ... + 130208780.

It is an arithmetic number, because the mean of its divisors is an integer number (58628815875).

Almost surely, 2^{11033034230400} is an apocalyptic number.

11033034230400 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 11033034230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22513465296000).

11033034230400 is an abundant number, since it is smaller than the sum of its proper divisors (33993896361600).

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

11033034230400 is a wasteful number, since it uses less digits than its factorization.

11033034230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84957 (or 84940 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 11033034230400 its reverse (403243033011), we get a palindrome (11436277263411).

The spelling of 11033034230400 in words is "eleven trillion, thirty-three billion, thirty-four million, two hundred thirty thousand, four hundred".