43643142144 has 576 divisors, whose sum is σ = 154783184400. Its totient is φ = 12039487488.

The previous prime is 43643142143. The next prime is 43643142157. The reversal of 43643142144 is 44124134634.

43643142144 is a `hidden beast` number, since 4 + 3 + 6 + 431 + 4 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 43643142099 and 43643142108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43643142143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1504935922 + ... + 1504935950.

Almost surely, 2^43643142144 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 43643142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77391592200).

43643142144 is an abundant number, since it is smaller than the sum of its proper divisors (111140042256).

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

43643142144 is an frugal number, since it uses more digits than its factorization.

43643142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 43643142144 its reverse (44124134634), we get a palindrome (87767276778).

The spelling of 43643142144 in words is "forty-three billion, six hundred forty-three million, one hundred forty-two thousand, one hundred forty-four".