11034115400 has 96 divisors (see below), whose sum is σ = 31984649280. Its totient is φ = 3439200000.

The previous prime is 11034115397. The next prime is 11034115409. The reversal of 11034115400 is 451143011.

It is a happy number.

11034115400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11034115409) 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, 342851 + ... + 373650.

It is an arithmetic number, because the mean of its divisors is an integer number (333173430).

Almost surely, 2^11034115400 is an apocalyptic number.

11034115400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034115400 is an abundant number, since it is smaller than the sum of its proper divisors (20950533880).

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

11034115400 is a wasteful number, since it uses less digits than its factorization.

11034115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716535 (or 716526 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11034115400 its reverse (451143011), we get a palindrome (11485258411).

The spelling of 11034115400 in words is "eleven billion, thirty-four million, one hundred fifteen thousand, four hundred".