11031042400 has 72 divisors (see below), whose sum is σ = 30776623920. Its totient is φ = 3782069760.

The previous prime is 11031042389. The next prime is 11031042403. The reversal of 11031042400 is 424013011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031042403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 979315 + ... + 990514.

It is an arithmetic number, because the mean of its divisors is an integer number (427453110).

Almost surely, 2^11031042400 is an apocalyptic number.

11031042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11031042400 is an abundant number, since it is smaller than the sum of its proper divisors (19745581520).

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

11031042400 is a wasteful number, since it uses less digits than its factorization.

11031042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969856 (or 1969843 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11031042400 its reverse (424013011), we get a palindrome (11455055411).

The spelling of 11031042400 in words is "eleven billion, thirty-one million, forty-two thousand, four hundred".