11223395581440 has 320 divisors, whose sum is σ = 41280711436800. Its totient is φ = 2548128645120.

The previous prime is 11223395581399. The next prime is 11223395581469. The reversal of 11223395581440 is 4418559332211.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11223395581440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7309675 + ... + 8710805.

It is an arithmetic number, because the mean of its divisors is an integer number (129002223240).

Almost surely, 2^{11223395581440} is an apocalyptic number.

11223395581440 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 11223395581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20640355718400).

11223395581440 is an abundant number, since it is smaller than the sum of its proper divisors (30057315855360).

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

11223395581440 is a wasteful number, since it uses less digits than its factorization.

11223395581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401313 (or 1401297 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 11223395581440 in words is "eleven trillion, two hundred twenty-three billion, three hundred ninety-five million, five hundred eighty-one thousand, four hundred forty".