11240330400 has 864 divisors, whose sum is σ = 45681919920. Its totient is φ = 2580480000.

The previous prime is 11240330389. The next prime is 11240330459. The reversal of 11240330400 is 403304211.

It can be written as a sum of positive squares in 24 ways, for example, as 1072431504 + 10167898896 = 32748^2 + 100836^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111290350 + ... + 111290450.

Almost surely, 2^11240330400 is an apocalyptic number.

11240330400 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 11240330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840959960).

11240330400 is an abundant number, since it is smaller than the sum of its proper divisors (34441589520).

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

11240330400 is a wasteful number, since it uses less digits than its factorization.

11240330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11240330400 its reverse (403304211), we get a palindrome (11643634611).

The spelling of 11240330400 in words is "eleven billion, two hundred forty million, three hundred thirty thousand, four hundred".