11000241000 has 384 divisors, whose sum is σ = 44996290560. Its totient is φ = 2366208000.

The previous prime is 11000240987. The next prime is 11000241041. The reversal of 11000241000 is 14200011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 1065865 + ... + 1076135.

It is an arithmetic number, because the mean of its divisors is an integer number (117177840).

Almost surely, 2^11000241000 is an apocalyptic number.

11000241000 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 11000241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498145280).

11000241000 is an abundant number, since it is smaller than the sum of its proper divisors (33996049560).

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

11000241000 is a wasteful number, since it uses less digits than its factorization.

11000241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10322 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11000241000 its reverse (14200011), we get a palindrome (11014441011).

The spelling of 11000241000 in words is "eleven billion, two hundred forty-one thousand".