11044141200 has 90 divisors (see below), whose sum is σ = 38326250274. Its totient is φ = 2945103360.

The previous prime is 11044141193. The next prime is 11044141217. The reversal of 11044141200 is 214144011.

It can be written as a sum of positive squares in 3 ways, for example, as 4016016 + 11040125184 = 2004^2 + 105072^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1530309 + ... + 1537508.

Almost surely, 2^11044141200 is an apocalyptic number.

11044141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11044141200 is an abundant number, since it is smaller than the sum of its proper divisors (27282109074).

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

11044141200 is a wasteful number, since it uses less digits than its factorization.

11044141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067841 (or 3067827 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11044141200 its reverse (214144011), we get a palindrome (11258285211).

The spelling of 11044141200 in words is "eleven billion, forty-four million, one hundred forty-one thousand, two hundred".