11042331445200 has 480 divisors, whose sum is σ = 39582784789632. Its totient is φ = 2608091136000.

The previous prime is 11042331445181. The next prime is 11042331445291. The reversal of 11042331445200 is 254413324011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409674924 + ... + 409701876.

Almost surely, 2^{11042331445200} is an apocalyptic number.

11042331445200 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 11042331445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19791392394816).

11042331445200 is an abundant number, since it is smaller than the sum of its proper divisors (28540453344432).

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

11042331445200 is a wasteful number, since it uses less digits than its factorization.

11042331445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27783 (or 27772 counting only the distinct ones).

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

Adding to 11042331445200 its reverse (254413324011), we get a palindrome (11296744769211).

The spelling of 11042331445200 in words is "eleven trillion, forty-two billion, three hundred thirty-one million, four hundred forty-five thousand, two hundred".