42444310330000 has 400 divisors, whose sum is σ = 108735087384000. Its totient is φ = 16000478208000.

The previous prime is 42444310329937. The next prime is 42444310330043. The reversal of 42444310330000 is 3301344424.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 45298089532 + ... + 45298090468.

It is an arithmetic number, because the mean of its divisors is an integer number (271837718460).

Almost surely, 2^{42444310330000} is an apocalyptic number.

42444310330000 is a gapful number since it is divisible by the number (40) 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 42444310330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54367543692000).

42444310330000 is an abundant number, since it is smaller than the sum of its proper divisors (66290777054000).

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

42444310330000 is a wasteful number, since it uses less digits than its factorization.

42444310330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42444310330000 its reverse (3301344424), we get a palindrome (42447611674424).

The spelling of 42444310330000 in words is "forty-two trillion, four hundred forty-four billion, three hundred ten million, three hundred thirty thousand".