42334314144 has 96 divisors (see below), whose sum is σ = 115252139520. Its totient is φ = 13590162432.

The previous prime is 42334314131. The next prime is 42334314151. The reversal of 42334314144 is 44141343324.

42334314144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086097 + ... + 1124399.

It is an arithmetic number, because the mean of its divisors is an integer number (1200543120).

Almost surely, 2^42334314144 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 42334314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57626069760).

42334314144 is an abundant number, since it is smaller than the sum of its proper divisors (72917825376).

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

42334314144 is a wasteful number, since it uses less digits than its factorization.

42334314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38742 (or 38734 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 42334314144 its reverse (44141343324), we get a palindrome (86475657468).

The spelling of 42334314144 in words is "forty-two billion, three hundred thirty-four million, three hundred fourteen thousand, one hundred forty-four".