11241342000 has 800 divisors, whose sum is σ = 48535179264. Its totient is φ = 2452032000.

The previous prime is 11241341989. The next prime is 11241342011. The reversal of 11241342000 is 24314211.

11241342000 is a `hidden beast` number, since 1 + 1 + 241 + 3 + 420 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11241341989) and next prime (11241342011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26081785 + ... + 26082215.

Almost surely, 2^11241342000 is an apocalyptic number.

11241342000 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 11241342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24267589632).

11241342000 is an abundant number, since it is smaller than the sum of its proper divisors (37293837264).

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

11241342000 is a wasteful number, since it uses less digits than its factorization.

11241342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

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

Adding to 11241342000 its reverse (24314211), we get a palindrome (11265656211).

The spelling of 11241342000 in words is "eleven billion, two hundred forty-one million, three hundred forty-two thousand".