1135440312300 has 1152 divisors, whose sum is σ = 4448995246080. Its totient is φ = 242853811200.

The previous prime is 1135440312247. The next prime is 1135440312301. The reversal of 1135440312300 is 32130445311.

It is a happy number.

1135440312300 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 40 + 312 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1135440312301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7232103822 + ... + 7232103978.

It is an arithmetic number, because the mean of its divisors is an integer number (3861975040).

Almost surely, 2^{1135440312300} is an apocalyptic number.

1135440312300 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 1135440312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224497623040).

1135440312300 is an abundant number, since it is smaller than the sum of its proper divisors (3313554933780).

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

1135440312300 is a wasteful number, since it uses less digits than its factorization.

1135440312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1135440312300 its reverse (32130445311), we get a palindrome (1167570757611).

The spelling of 1135440312300 in words is "one trillion, one hundred thirty-five billion, four hundred forty million, three hundred twelve thousand, three hundred".