11443200528400 has 135 divisors (see below), whose sum is σ = 27857709579063. Its totient is φ = 4517229100800.

The previous prime is 11443200528307. The next prime is 11443200528421. The reversal of 11443200528400 is 482500234411.

The square root of 11443200528400 is 3382780.

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 1962319085584 + 9480881442816 = 1400828^2 + 3079104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5344791330 + ... + 5344793470.

Almost surely, 2^{11443200528400} is an apocalyptic number.

11443200528400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11443200528400 is the 3382780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11443200528400

11443200528400 is an abundant number, since it is smaller than the sum of its proper divisors (16414509050663).

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

11443200528400 is an frugal number, since it uses more digits than its factorization.

11443200528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

It can be divided in two parts, 11443200 and 528400, that added together give a square (11971600 = 3460²).

The spelling of 11443200528400 in words is "eleven trillion, four hundred forty-three billion, two hundred million, five hundred twenty-eight thousand, four hundred".