4424444024004 has 72 divisors (see below), whose sum is σ = 11249687561112. Its totient is φ = 1466155630080.

The previous prime is 4424444023981. The next prime is 4424444024027. The reversal of 4424444024004 is 4004204444244.

4424444024004 is a `hidden beast` number, since 4 + 4 + 244 + 4 + 4 + 0 + 2 + 400 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4424444023981) and next prime (4424444024027).

It can be written as a sum of positive squares in 4 ways, for example, as 588055855104 + 3836388168900 = 766848^2 + 1958670^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4424444024004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86624634 + ... + 86675694.

It is an arithmetic number, because the mean of its divisors is an integer number (156245660571).

Almost surely, 2^{4424444024004} is an apocalyptic number.

It is an amenable number.

4424444024004 is an abundant number, since it is smaller than the sum of its proper divisors (6825243537108).

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

4424444024004 is a wasteful number, since it uses less digits than its factorization.

4424444024004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65157 (or 65152 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4424444024004 its reverse (4004204444244), we get a palindrome (8428648468248).

The spelling of 4424444024004 in words is "four trillion, four hundred twenty-four billion, four hundred forty-four million, twenty-four thousand, four".