11201034400 has 72 divisors (see below), whose sum is σ = 27383559840. Its totient is φ = 4474018560.

The previous prime is 11201034331. The next prime is 11201034433. The reversal of 11201034400 is 443010211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571971 + ... + 591229.

It is an arithmetic number, because the mean of its divisors is an integer number (380327220).

Almost surely, 2^11201034400 is an apocalyptic number.

11201034400 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 11201034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13691779920).

11201034400 is an abundant number, since it is smaller than the sum of its proper divisors (16182525440).

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

11201034400 is a wasteful number, since it uses less digits than its factorization.

11201034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20006 (or 19993 counting only the distinct ones).

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

Adding to 11201034400 its reverse (443010211), we get a palindrome (11644044611).

The spelling of 11201034400 in words is "eleven billion, two hundred one million, thirty-four thousand, four hundred".