11440105200 has 480 divisors, whose sum is σ = 43231161600. Its totient is φ = 2865300480.

The previous prime is 11440105199. The next prime is 11440105231. The reversal of 11440105200 is 250104411.

11440105200 is a `hidden beast` number, since 1 + 144 + 0 + 1 + 0 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40424259 + ... + 40424541.

It is an arithmetic number, because the mean of its divisors is an integer number (90064920).

Almost surely, 2^11440105200 is an apocalyptic number.

11440105200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11440105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21615580800).

11440105200 is an abundant number, since it is smaller than the sum of its proper divisors (31791056400).

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

11440105200 is a wasteful number, since it uses less digits than its factorization.

11440105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11440105200 its reverse (250104411), we get a palindrome (11690209611).

The spelling of 11440105200 in words is "eleven billion, four hundred forty million, one hundred five thousand, two hundred".