11042341200 has 300 divisors, whose sum is σ = 43234206048. Its totient is φ = 2676844800.

The previous prime is 11042341199. The next prime is 11042341217. The reversal of 11042341200 is 214324011.

11042341200 is a `hidden beast` number, since 1 + 1 + 0 + 423 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 340909 + ... + 371891.

Almost surely, 2^11042341200 is an apocalyptic number.

11042341200 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 11042341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21617103024).

11042341200 is an abundant number, since it is smaller than the sum of its proper divisors (32191864848).

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

11042341200 is a wasteful number, since it uses less digits than its factorization.

11042341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31024 (or 31004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11042341200 its reverse (214324011), we get a palindrome (11256665211).

The spelling of 11042341200 in words is "eleven billion, forty-two million, three hundred forty-one thousand, two hundred".