4473338333744 has 120 divisors (see below), whose sum is σ = 10269199657728. Its totient is φ = 1881811021440.

The previous prime is 4473338333719. The next prime is 4473338333771.

It is a happy number.

4473338333744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 4473338333744.

It is an unprimeable number.

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, 12458717 + ... + 12812739.

Almost surely, 2^{4473338333744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4473338333744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134599828864).

4473338333744 is an abundant number, since it is smaller than the sum of its proper divisors (5795861323984).

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

4473338333744 is a wasteful number, since it uses less digits than its factorization.

4473338333744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354343 (or 354330 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 56.

The spelling of 4473338333744 in words is "four trillion, four hundred seventy-three billion, three hundred thirty-eight million, three hundred thirty-three thousand, seven hundred forty-four".