1135541100400 has 120 divisors (see below), whose sum is σ = 3193917388704. Its totient is φ = 379832524800.

The previous prime is 1135541100377. The next prime is 1135541100403. The reversal of 1135541100400 is 40011455311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135541100403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4830937 + ... + 5060536.

Almost surely, 2^{1135541100400} is an apocalyptic number.

1135541100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135541100400 is an abundant number, since it is smaller than the sum of its proper divisors (2058376288304).

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

1135541100400 is a wasteful number, since it uses less digits than its factorization.

1135541100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891539 (or 9891528 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 1135541100400 its reverse (40011455311), we get a palindrome (1175552555711).

The spelling of 1135541100400 in words is "one trillion, one hundred thirty-five billion, five hundred forty-one million, one hundred thousand, four hundred".