11155442434400 has 72 divisors (see below), whose sum is σ = 29708971488504. Its totient is φ = 4056524518400.

The previous prime is 11155442434369. The next prime is 11155442434403. The reversal of 11155442434400 is 443424455111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155442434403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633823157 + ... + 633840756.

It is an arithmetic number, because the mean of its divisors is an integer number (412624604007).

Almost surely, 2^{11155442434400} is an apocalyptic number.

11155442434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11155442434400 is an abundant number, since it is smaller than the sum of its proper divisors (18553529054104).

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

11155442434400 is a wasteful number, since it uses less digits than its factorization.

11155442434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267663944 (or 1267663931 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 11155442434400 its reverse (443424455111), we get a palindrome (11598866889511).

The spelling of 11155442434400 in words is "eleven trillion, one hundred fifty-five billion, four hundred forty-two million, four hundred thirty-four thousand, four hundred".