4021430342144 has 80 divisors (see below), whose sum is σ = 8308950693120. Its totient is φ = 1942392852480.

The previous prime is 4021430342143. The next prime is 4021430342177. The reversal of 4021430342144 is 4412430341204.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4021430342144.

It is not an unprimeable number, because it can be changed into a prime (4021430342143) 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 7 ways as a sum of consecutive naturals, for example, 8710922 + ... + 9160950.

It is an arithmetic number, because the mean of its divisors is an integer number (103861883664).

Almost surely, 2^{4021430342144} 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 4021430342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154475346560).

4021430342144 is an abundant number, since it is smaller than the sum of its proper divisors (4287520350976).

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

4021430342144 is an equidigital number, since it uses as much as digits as its factorization.

4021430342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450641 (or 450625 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4021430342144 its reverse (4412430341204), we get a palindrome (8433860683348).

The spelling of 4021430342144 in words is "four trillion, twenty-one billion, four hundred thirty million, three hundred forty-two thousand, one hundred forty-four".