42005450144 has 96 divisors (see below), whose sum is σ = 100361721600. Its totient is φ = 16894291968.

The previous prime is 42005450083. The next prime is 42005450147. The reversal of 42005450144 is 44105450024.

It is not an unprimeable number, because it can be changed into a prime (42005450147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1313189 + ... + 1344795.

It is an arithmetic number, because the mean of its divisors is an integer number (1045434600).

Almost surely, 2^42005450144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42005450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50180860800).

42005450144 is an abundant number, since it is smaller than the sum of its proper divisors (58356271456).

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

42005450144 is a wasteful number, since it uses less digits than its factorization.

42005450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31990 (or 31982 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The spelling of 42005450144 in words is "forty-two billion, five million, four hundred fifty thousand, one hundred forty-four".