4444202042016 has 144 divisors (see below), whose sum is σ = 12949955784864. Its totient is φ = 1333393600000.

The previous prime is 4444202041999. The next prime is 4444202042017. The reversal of 4444202042016 is 6102402024444.

It is a happy number.

It is a super-3 number, since 3×4444202042016³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4444202042017) 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 23 ways as a sum of consecutive naturals, for example, 720810 + ... + 3067241.

It is an arithmetic number, because the mean of its divisors is an integer number (89930248506).

Almost surely, 2^{4444202042016} is an apocalyptic number.

It is an amenable number.

4444202042016 is an abundant number, since it is smaller than the sum of its proper divisors (8505753742848).

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

4444202042016 is a wasteful number, since it uses less digits than its factorization.

4444202042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788187 (or 3788168 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 4444202042016 in words is "four trillion, four hundred forty-four billion, two hundred two million, forty-two thousand, sixteen".