4332142413440 has 64 divisors (see below), whose sum is σ = 10358045752320. Its totient is φ = 1732603008000.

The previous prime is 4332142413439. The next prime is 4332142413449. The reversal of 4332142413440 is 443142412334.

4332142413440 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4332142413440.

It is not an unprimeable number, because it can be changed into a prime (4332142413449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3904865 + ... + 4890015.

It is an arithmetic number, because the mean of its divisors is an integer number (161844464880).

Almost surely, 2^{4332142413440} is an apocalyptic number.

4332142413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4332142413440 is an abundant number, since it is smaller than the sum of its proper divisors (6025903338880).

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

4332142413440 is an equidigital number, since it uses as much as digits as its factorization.

4332142413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992041 (or 992029 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 4332142413440 its reverse (443142412334), we get a palindrome (4775284825774).

The spelling of 4332142413440 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, four hundred thirteen thousand, four hundred forty".