4430405424144 has 80 divisors (see below), whose sum is σ = 13080849022080. Its totient is φ = 1265771627520.

The previous prime is 4430405424127. The next prime is 4430405424149. The reversal of 4430405424144 is 4414245040344.

It is a super-3 number, since 3×4430405424144³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4430405424149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7256164 + ... + 7843004.

It is an arithmetic number, because the mean of its divisors is an integer number (163510612776).

Almost surely, 2^{4430405424144} is an apocalyptic number.

It is an amenable number.

4430405424144 is an abundant number, since it is smaller than the sum of its proper divisors (8650443597936).

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

4430405424144 is a wasteful number, since it uses less digits than its factorization.

4430405424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609328 (or 609322 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 39.

The spelling of 4430405424144 in words is "four trillion, four hundred thirty billion, four hundred five million, four hundred twenty-four thousand, one hundred forty-four".