11102040400 has 360 divisors, whose sum is σ = 31583103552. Its totient is φ = 3734016000.

The previous prime is 11102040379. The next prime is 11102040401. The reversal of 11102040400 is 404020111.

11102040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102040401) 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 71 ways as a sum of consecutive naturals, for example, 84748335 + ... + 84748465.

Almost surely, 2^11102040400 is an apocalyptic number.

11102040400 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 11102040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15791551776).

11102040400 is an abundant number, since it is smaller than the sum of its proper divisors (20481063152).

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

11102040400 is a wasteful number, since it uses less digits than its factorization.

11102040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11102040400 its reverse (404020111), we get a palindrome (11506060511).

The spelling of 11102040400 in words is "eleven billion, one hundred two million, forty thousand, four hundred".