11240233400 has 384 divisors, whose sum is σ = 32108659200. Its totient is φ = 3608985600.

The previous prime is 11240233399. The next prime is 11240233421. The reversal of 11240233400 is 433204211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62794511 + ... + 62794689.

It is an arithmetic number, because the mean of its divisors is an integer number (83616300).

Almost surely, 2^11240233400 is an apocalyptic number.

11240233400 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 11240233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054329600).

11240233400 is an abundant number, since it is smaller than the sum of its proper divisors (20868425800).

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

11240233400 is a wasteful number, since it uses less digits than its factorization.

11240233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11240233400 its reverse (433204211), we get a palindrome (11673437611).

The spelling of 11240233400 in words is "eleven billion, two hundred forty million, two hundred thirty-three thousand, four hundred".