11044342531200 has 384 divisors, whose sum is σ = 39695221843200. Its totient is φ = 2676681625600.

The previous prime is 11044342531199. The next prime is 11044342531213. The reversal of 11044342531200 is 213524344011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452272591 + ... + 452297009.

It is an arithmetic number, because the mean of its divisors is an integer number (103372973550).

Almost surely, 2^{11044342531200} is an apocalyptic number.

11044342531200 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 11044342531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19847610921600).

11044342531200 is an abundant number, since it is smaller than the sum of its proper divisors (28650879312000).

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

11044342531200 is a wasteful number, since it uses less digits than its factorization.

11044342531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28740 (or 28723 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 11044342531200 its reverse (213524344011), we get a palindrome (11257866875211).

The spelling of 11044342531200 in words is "eleven trillion, forty-four billion, three hundred forty-two million, five hundred thirty-one thousand, two hundred".