12443224031040 has 336 divisors, whose sum is σ = 45313375976064. Its totient is φ = 2885384663040.

The previous prime is 12443224031027. The next prime is 12443224031041. The reversal of 12443224031040 is 4013042234421.

12443224031040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12443224030989 and 12443224031007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443224031041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342954 + ... + 5000406.

It is an arithmetic number, because the mean of its divisors is an integer number (134861238024).

Almost surely, 2^{12443224031040} is an apocalyptic number.

12443224031040 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 12443224031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22656687988032).

12443224031040 is an abundant number, since it is smaller than the sum of its proper divisors (32870151945024).

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

12443224031040 is a wasteful number, since it uses less digits than its factorization.

12443224031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657518 (or 4657497 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12443224031040 its reverse (4013042234421), we get a palindrome (16456266265461).

The spelling of 12443224031040 in words is "twelve trillion, four hundred forty-three billion, two hundred twenty-four million, thirty-one thousand, forty".