4202444442024 has 24 divisors (see below), whose sum is σ = 11381620364010. Its totient is φ = 1400814813984.

The previous prime is 4202444441989. The next prime is 4202444442061.

4202444442024 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 4 + 4 + 444 + 202 + 4 = 666.

4202444442024 is nontrivially palindromic in base 10.

4202444442024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4089770093124 + 112674348900 = 2022318^2 + 335670^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 4202444442024.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29183641887 + ... + 29183642030.

Almost surely, 2^{4202444442024} is an apocalyptic number.

It is an amenable number.

4202444442024 is an abundant number, since it is smaller than the sum of its proper divisors (7179175921986).

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

4202444442024 is a wasteful number, since it uses less digits than its factorization.

4202444442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58367283929 (or 58367283922 counting only the distinct ones).

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

The spelling of 4202444442024 in words is "four trillion, two hundred two billion, four hundred forty-four million, four hundred forty-two thousand, twenty-four".