11000334400 has 168 divisors, whose sum is σ = 29627657280. Its totient is φ = 3986688000.

The previous prime is 11000334353. The next prime is 11000334403. The reversal of 11000334400 is 443300011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11000334403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6317530 + ... + 6319270.

Almost surely, 2^11000334400 is an apocalyptic number.

11000334400 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 11000334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813828640).

11000334400 is an abundant number, since it is smaller than the sum of its proper divisors (18627322880).

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

11000334400 is a wasteful number, since it uses less digits than its factorization.

11000334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11000334400 its reverse (443300011), we get a palindrome (11443634411).

The spelling of 11000334400 in words is "eleven billion, three hundred thirty-four thousand, four hundred".