4072048224 has 96 divisors (see below), whose sum is σ = 11120185440. Its totient is φ = 1303142400.

The previous prime is 4072048207. The next prime is 4072048231. The reversal of 4072048224 is 4228402704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499864 + ... + 507944.

It is an arithmetic number, because the mean of its divisors is an integer number (115835265).

Almost surely, 2^4072048224 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 4072048224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560092720).

4072048224 is an abundant number, since it is smaller than the sum of its proper divisors (7048137216).

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

4072048224 is a wasteful number, since it uses less digits than its factorization.

4072048224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 4072048224 is about 63812.6023916906. The cubic root of 4072048224 is about 1596.8751803284.

The spelling of 4072048224 in words is "four billion, seventy-two million, forty-eight thousand, two hundred twenty-four".