11182202240400 has 135 divisors (see below), whose sum is σ = 38806044226339. Its totient is φ = 2981867093760.

The previous prime is 11182202240359. The next prime is 11182202240411. The reversal of 11182202240400 is 404220228111.

The square root of 11182202240400 is 3343980.

It is a perfect power (a square), and thus also a powerful number.

11182202240400 is a `hidden beast` number, since 1 + 1 + 18 + 2 + 2 + 0 + 2 + 240 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1107621534096 + 10074580706304 = 1052436^2 + 3174048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 200610934 + ... + 200666666.

Almost surely, 2^{11182202240400} is an apocalyptic number.

11182202240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11182202240400 is the 3343980-th square number.

It is an amenable number.

11182202240400 is an abundant number, since it is smaller than the sum of its proper divisors (27623841985939).

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

11182202240400 is an frugal number, since it uses more digits than its factorization.

11182202240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111490 (or 55743 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11182202240400 its reverse (404220228111), we get a palindrome (11586422468511).

The spelling of 11182202240400 in words is "eleven trillion, one hundred eighty-two billion, two hundred two million, two hundred forty thousand, four hundred".