11413222144320 has 224 divisors, whose sum is σ = 37264843123200. Its totient is φ = 2957410566144.

The previous prime is 11413222144307. The next prime is 11413222144367. The reversal of 11413222144320 is 2344122231411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 27105961 + ... + 27523799.

It is an arithmetic number, because the mean of its divisors is an integer number (166360906800).

Almost surely, 2^{11413222144320} is an apocalyptic number.

11413222144320 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 11413222144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632421561600).

11413222144320 is an abundant number, since it is smaller than the sum of its proper divisors (25851620978880).

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

11413222144320 is a wasteful number, since it uses less digits than its factorization.

11413222144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418665 (or 418655 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11413222144320 its reverse (2344122231411), we get a palindrome (13757344375731).

The spelling of 11413222144320 in words is "eleven trillion, four hundred thirteen billion, two hundred twenty-two million, one hundred forty-four thousand, three hundred twenty".