11224306442880 has 640 divisors, whose sum is σ = 40550685626880. Its totient is φ = 2958416068608.

The previous prime is 11224306442831. The next prime is 11224306442887. The reversal of 11224306442880 is 8824460342211.

11224306442880 is a `hidden beast` number, since 1 + 1 + 2 + 24 + 306 + 44 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11224306442887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3294482137 + ... + 3294485543.

It is an arithmetic number, because the mean of its divisors is an integer number (63360446292).

Almost surely, 2^{11224306442880} is an apocalyptic number.

11224306442880 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 11224306442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275342813440).

11224306442880 is an abundant number, since it is smaller than the sum of its proper divisors (29326379184000).

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

11224306442880 is a wasteful number, since it uses less digits than its factorization.

11224306442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 11224306442880 in words is "eleven trillion, two hundred twenty-four billion, three hundred six million, four hundred forty-two thousand, eight hundred eighty".