11219441280 has 128 divisors (see below), whose sum is σ = 35792305920. Its totient is φ = 2989314048.

The previous prime is 11219441273. The next prime is 11219441281. The reversal of 11219441280 is 8214491211.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11219441281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3709849 + ... + 3712871.

It is an arithmetic number, because the mean of its divisors is an integer number (279627390).

Almost surely, 2^11219441280 is an apocalyptic number.

11219441280 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 11219441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896152960).

11219441280 is an abundant number, since it is smaller than the sum of its proper divisors (24572864640).

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

11219441280 is a wasteful number, since it uses less digits than its factorization.

11219441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 11219441280 in words is "eleven billion, two hundred nineteen million, four hundred forty-one thousand, two hundred eighty".