11034331044200 has 48 divisors (see below), whose sum is σ = 25672476802380. Its totient is φ = 4410694632960.

The previous prime is 11034331044193. The next prime is 11034331044251. The reversal of 11034331044200 is 244013343011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9010671161284 + 2023659882916 = 3001778^2 + 1422554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11034331044200.

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 11 ways as a sum of consecutive naturals, for example, 18694829 + ... + 19276028.

Almost surely, 2^{11034331044200} is an apocalyptic number.

11034331044200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034331044200 is an abundant number, since it is smaller than the sum of its proper divisors (14638145758180).

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

11034331044200 is a wasteful number, since it uses less digits than its factorization.

11034331044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37972326 (or 37972317 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 11034331044200 its reverse (244013343011), we get a palindrome (11278344387211).

The spelling of 11034331044200 in words is "eleven trillion, thirty-four billion, three hundred thirty-one million, forty-four thousand, two hundred".