4032143430040 has 256 divisors, whose sum is σ = 10178612928000. Its totient is φ = 1425295872000.

The previous prime is 4032143430019. The next prime is 4032143430041. The reversal of 4032143430040 is 400343412304.

4032143430040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4032143429990 and 4032143430008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032143430041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559162035 + ... + 559169245.

It is an arithmetic number, because the mean of its divisors is an integer number (39760206750).

Almost surely, 2^{4032143430040} is an apocalyptic number.

4032143430040 is a gapful number since it is divisible by the number (40) 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 4032143430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089306464000).

4032143430040 is an abundant number, since it is smaller than the sum of its proper divisors (6146469497960).

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

4032143430040 is a wasteful number, since it uses less digits than its factorization.

4032143430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4032143430040 its reverse (400343412304), we get a palindrome (4432486842344).

The spelling of 4032143430040 in words is "four trillion, thirty-two billion, one hundred forty-three million, four hundred thirty thousand, forty".