1135433411200 has 288 divisors, whose sum is σ = 3090218268060. Its totient is φ = 411924480000.

The previous prime is 1135433411159. The next prime is 1135433411207. The reversal of 1135433411200 is 21143345311.

It can be written as a sum of positive squares in 6 ways, for example, as 187988147776 + 947445263424 = 433576^2 + 973368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135433411207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178496020 + ... + 178502380.

Almost surely, 2^{1135433411200} is an apocalyptic number.

1135433411200 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 1135433411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545109134030).

1135433411200 is an abundant number, since it is smaller than the sum of its proper divisors (1954784856860).

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

1135433411200 is a wasteful number, since it uses less digits than its factorization.

1135433411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6868 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1135433411200 its reverse (21143345311), we get a palindrome (1156576756511).

The spelling of 1135433411200 in words is "one trillion, one hundred thirty-five billion, four hundred thirty-three million, four hundred eleven thousand, two hundred".