11294438918400 has 2187 divisors, whose sum is σ = 47553401936313. Its totient is φ = 2555222630400.

The previous prime is 11294438918297. The next prime is 11294438918407. The reversal of 11294438918400 is 481983449211.

The square root of 11294438918400 is 3360720.

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

11294438918400 is a `hidden beast` number, since 1 + 1 + 29 + 4 + 438 + 9 + 184 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4065998010624 + 7228440907776 = 2016432^2 + 2688576^2 .

It is not an unprimeable number, because it can be changed into a prime (11294438918407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 168573715167 + ... + 168573715233.

Almost surely, 2^{11294438918400} is an apocalyptic number.

11294438918400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11294438918400 is the 3360720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11294438918400

11294438918400 is an abundant number, since it is smaller than the sum of its proper divisors (36258963017913).

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

11294438918400 is a wasteful number, since it uses less digits than its factorization.

11294438918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11294438918400 in words is "eleven trillion, two hundred ninety-four billion, four hundred thirty-eight million, nine hundred eighteen thousand, four hundred".