42440133321012 has 192 divisors, whose sum is σ = 115063258222080. Its totient is φ = 11924969472000.

The previous prime is 42440133321011. The next prime is 42440133321109. The reversal of 42440133321012 is 21012333104424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42440133321011) by changing a digit.

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, 6671924712 + ... + 6671931072.

It is an arithmetic number, because the mean of its divisors is an integer number (599287803240).

Almost surely, 2^{42440133321012} is an apocalyptic number.

42440133321012 is a gapful number since it is divisible by the number (42) 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 42440133321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57531629111040).

42440133321012 is an abundant number, since it is smaller than the sum of its proper divisors (72623124901068).

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

42440133321012 is a wasteful number, since it uses less digits than its factorization.

42440133321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 42440133321012 its reverse (21012333104424), we get a palindrome (63452466425436).

The spelling of 42440133321012 in words is "forty-two trillion, four hundred forty billion, one hundred thirty-three million, three hundred twenty-one thousand, twelve".