4340144344032 has 288 divisors, whose sum is σ = 14736843475200. Its totient is φ = 1239085161216.

The previous prime is 4340144344009. The next prime is 4340144344033. The reversal of 4340144344032 is 2304434410434.

4340144344032 is a `hidden beast` number, since 4 + 3 + 40 + 144 + 3 + 440 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340144344033) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55802323 + ... + 55880045.

It is an arithmetic number, because the mean of its divisors is an integer number (51169595400).

Almost surely, 2^{4340144344032} is an apocalyptic number.

4340144344032 is a gapful number since it is divisible by the number (42) 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 4340144344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368421737600).

4340144344032 is an abundant number, since it is smaller than the sum of its proper divisors (10396699131168).

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

4340144344032 is a wasteful number, since it uses less digits than its factorization.

4340144344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79075 (or 79054 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4340144344032 its reverse (2304434410434), we get a palindrome (6644578754466).

The spelling of 4340144344032 in words is "four trillion, three hundred forty billion, one hundred forty-four million, three hundred forty-four thousand, thirty-two".