4073544384 has 336 divisors, whose sum is σ = 13683032832. Its totient is φ = 1041371136.

The previous prime is 4073544383. The next prime is 4073544439. The reversal of 4073544384 is 4834453704.

4073544384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4073544383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49078807 + ... + 49078889.

It is an arithmetic number, because the mean of its divisors is an integer number (40723312).

Almost surely, 2^4073544384 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 4073544384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841516416).

4073544384 is an abundant number, since it is smaller than the sum of its proper divisors (9609488448).

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

4073544384 is a wasteful number, since it uses less digits than its factorization.

4073544384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The square root of 4073544384 is about 63824.3243912538. The cubic root of 4073544384 is about 1597.0707320578.

The spelling of 4073544384 in words is "four billion, seventy-three million, five hundred forty-four thousand, three hundred eighty-four".