4030104430144 has 189 divisors, whose sum is σ = 8794117994787. Its totient is φ = 1831621828608.

The previous prime is 4030104430141. The next prime is 4030104430147. The reversal of 4030104430144 is 4410344010304.

It is a happy number.

The square root of 4030104430144 is 2007512.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4030104430141) and next prime (4030104430147).

It can be written as a sum of positive squares in 4 ways, for example, as 736315015744 + 3293789414400 = 858088^2 + 1814880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4030104430141) 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 26 ways as a sum of consecutive naturals, for example, 20251780957 + ... + 20251781155.

Almost surely, 2^{4030104430144} is an apocalyptic number.

4030104430144 is the 2007512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4030104430144

4030104430144 is an abundant number, since it is smaller than the sum of its proper divisors (4764013564643).

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

4030104430144 is an frugal number, since it uses more digits than its factorization.

4030104430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4030104430144 its reverse (4410344010304), we get a palindrome (8440448440448).

The spelling of 4030104430144 in words is "four trillion, thirty billion, one hundred four million, four hundred thirty thousand, one hundred forty-four".