11141280 has 96 divisors (see below), whose sum is σ = 39009600. Its totient is φ = 2969856.

The previous prime is 11141279. The next prime is 11141297. The reversal of 11141280 is 8214111.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3031 + ... + 5609.

It is an arithmetic number, because the mean of its divisors is an integer number (406350).

Almost surely, 2^11141280 is an apocalyptic number.

11141280 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 11141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504800).

11141280 is an abundant number, since it is smaller than the sum of its proper divisors (27868320).

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

11141280 is a wasteful number, since it uses less digits than its factorization.

11141280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11141280 is about 3337.8555990336. The cubic root of 11141280 is about 223.3460946645.

Adding to 11141280 its reverse (8214111), we get a palindrome (19355391).

The spelling of 11141280 in words is "eleven million, one hundred forty-one thousand, two hundred eighty".