42043442144 has 72 divisors (see below), whose sum is σ = 91081539864. Its totient is φ = 19089734400.

The previous prime is 42043442131. The next prime is 42043442149. The reversal of 42043442144 is 44124434024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42043442144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42043442149) 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 11 ways as a sum of consecutive naturals, for example, 3854939 + ... + 3865829.

It is an arithmetic number, because the mean of its divisors is an integer number (1265021387).

Almost surely, 2^42043442144 is an apocalyptic number.

42043442144 is a gapful number since it is divisible by the number (44) 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 42043442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45540769932).

42043442144 is an abundant number, since it is smaller than the sum of its proper divisors (49038097720).

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

42043442144 is a wasteful number, since it uses less digits than its factorization.

42043442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11901 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 42043442144 its reverse (44124434024), we get a palindrome (86167876168).

The spelling of 42043442144 in words is "forty-two billion, forty-three million, four hundred forty-two thousand, one hundred forty-four".