1135351110400 has 432 divisors, whose sum is σ = 3209158489600. Its totient is φ = 394209607680.

The previous prime is 1135351110391. The next prime is 1135351110407. The reversal of 1135351110400 is 40111535311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1135351110407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219728617 + ... + 219733783.

Almost surely, 2^{1135351110400} is an apocalyptic number.

1135351110400 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 1135351110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604579244800).

1135351110400 is an abundant number, since it is smaller than the sum of its proper divisors (2073807379200).

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

1135351110400 is a wasteful number, since it uses less digits than its factorization.

1135351110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 1135351110400 its reverse (40111535311), we get a palindrome (1175462645711).

The spelling of 1135351110400 in words is "one trillion, one hundred thirty-five billion, three hundred fifty-one million, one hundred ten thousand, four hundred".