11189408400 has 405 divisors, whose sum is σ = 40747656027. Its totient is φ = 2843366400.

The previous prime is 11189408383. The next prime is 11189408411. The reversal of 11189408400 is 480498111.

The square root of 11189408400 is 105780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4709802384 + 6479606016 = 68628^2 + 80496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 260218779 + ... + 260218821.

Almost surely, 2^11189408400 is an apocalyptic number.

11189408400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11189408400 is the 105780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11189408400

11189408400 is an abundant number, since it is smaller than the sum of its proper divisors (29558247627).

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

11189408400 is a wasteful number, since it uses less digits than its factorization.

11189408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Multiplying 11189408400 by its sum of digits (36), we get a square (402818702400 = 634680²).

11189408400 divided by its sum of digits (36) gives a square (310816900 = 17630²).

Multiplying 11189408400 by its product of nonzero digits (9216), we get a square (103121587814400 = 10154880²).

The spelling of 11189408400 in words is "eleven billion, one hundred eighty-nine million, four hundred eight thousand, four hundred".