11033400000 has 672 divisors, whose sum is σ = 43431220224. Its totient is φ = 2419200000.

The previous prime is 11033399987. The next prime is 11033400017. The reversal of 11033400000 is 433011.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155399965 + ... + 155400035.

It is an arithmetic number, because the mean of its divisors is an integer number (64629792).

Almost surely, 2^11033400000 is an apocalyptic number.

11033400000 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 11033400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21715610112).

11033400000 is an abundant number, since it is smaller than the sum of its proper divisors (32397820224).

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

11033400000 is an frugal number, since it uses more digits than its factorization.

11033400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11033400000 its reverse (433011), we get a palindrome (11033833011).

The spelling of 11033400000 in words is "eleven billion, thirty-three million, four hundred thousand".