444420400024 has 128 divisors (see below), whose sum is σ = 941717145600. Its totient is φ = 195485368320.

The previous prime is 444420399979. The next prime is 444420400079. The reversal of 444420400024 is 420004024444.

It is a super-3 number, since 3×444420400024³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444420399965 and 444420400001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 113053339 + ... + 113057269.

It is an arithmetic number, because the mean of its divisors is an integer number (7357165200).

Almost surely, 2^444420400024 is an apocalyptic number.

It is an amenable number.

444420400024 is an abundant number, since it is smaller than the sum of its proper divisors (497296745576).

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

444420400024 is a wasteful number, since it uses less digits than its factorization.

444420400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 444420400024 its reverse (420004024444), we get a palindrome (864424424468).

The spelling of 444420400024 in words is "four hundred forty-four billion, four hundred twenty million, four hundred thousand, twenty-four".