11035440000 has 800 divisors, whose sum is σ = 44532651240. Its totient is φ = 2695680000.

The previous prime is 11035439999. The next prime is 11035440001. The reversal of 11035440000 is 4453011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11035439999) and next prime (11035440001).

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11035440001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 84239935 + ... + 84240065.

Almost surely, 2^11035440000 is an apocalyptic number.

11035440000 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 11035440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266325620).

11035440000 is an abundant number, since it is smaller than the sum of its proper divisors (33497211240).

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

11035440000 is an equidigital number, since it uses as much as digits as its factorization.

11035440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11035440000 its reverse (4453011), we get a palindrome (11039893011).

The spelling of 11035440000 in words is "eleven billion, thirty-five million, four hundred forty thousand".