11240200400 has 480 divisors, whose sum is σ = 33570851328. Its totient is φ = 3561062400.

The previous prime is 11240200397. The next prime is 11240200423. The reversal of 11240200400 is 400204211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99470744 + ... + 99470856.

Almost surely, 2^11240200400 is an apocalyptic number.

11240200400 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 11240200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16785425664).

11240200400 is an abundant number, since it is smaller than the sum of its proper divisors (22330650928).

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

11240200400 is a wasteful number, since it uses less digits than its factorization.

11240200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11240200400 its reverse (400204211), we get a palindrome (11640404611).

The spelling of 11240200400 in words is "eleven billion, two hundred forty million, two hundred thousand, four hundred".