13431442224000 has 512 divisors, whose sum is σ = 46307942553600. Its totient is φ = 3440765952000.

The previous prime is 13431442223993. The next prime is 13431442224073. The reversal of 13431442224000 is 42224413431.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140256135 + ... + 140351865.

It is an arithmetic number, because the mean of its divisors is an integer number (90445200300).

Almost surely, 2^{13431442224000} is an apocalyptic number.

13431442224000 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 13431442224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23153971276800).

13431442224000 is an abundant number, since it is smaller than the sum of its proper divisors (32876500329600).

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

13431442224000 is an equidigital number, since it uses as much as digits as its factorization.

13431442224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95879 (or 95857 counting only the distinct ones).

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

Adding to 13431442224000 its reverse (42224413431), we get a palindrome (13473666637431).

The spelling of 13431442224000 in words is "thirteen trillion, four hundred thirty-one billion, four hundred forty-two million, two hundred twenty-four thousand".