43142322144 has 96 divisors (see below), whose sum is σ = 114174434304. Its totient is φ = 14263695360.

The previous prime is 43142322133. The next prime is 43142322161. The reversal of 43142322144 is 44122324134.

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

It is a super-2 number, since 2×43142322144² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6054904 + ... + 6062024.

It is an arithmetic number, because the mean of its divisors is an integer number (1189317024).

Almost surely, 2^43142322144 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 43142322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57087217152).

43142322144 is an abundant number, since it is smaller than the sum of its proper divisors (71032112160).

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

43142322144 is a wasteful number, since it uses less digits than its factorization.

43142322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7632 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 43142322144 its reverse (44122324134), we get a palindrome (87264646278).

The spelling of 43142322144 in words is "forty-three billion, one hundred forty-two million, three hundred twenty-two thousand, one hundred forty-four".