4075020576 has 432 divisors, whose sum is σ = 13615003584. Its totient is φ = 1197504000.

The previous prime is 4075020571. The next prime is 4075020613. The reversal of 4075020576 is 6750205704.

It is a tau number, because it is divible by the number of its divisors (432).

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 4075020576.

It is not an unprimeable number, because it can be changed into a prime (4075020571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57394621 + ... + 57394691.

It is an arithmetic number, because the mean of its divisors is an integer number (31516212).

Almost surely, 2^4075020576 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 4075020576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807501792).

4075020576 is an abundant number, since it is smaller than the sum of its proper divisors (9539983008).

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

4075020576 is a wasteful number, since it uses less digits than its factorization.

4075020576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 4075020576 is about 63835.8878374853. The cubic root of 4075020576 is about 1597.2636269988.

The spelling of 4075020576 in words is "four billion, seventy-five million, twenty thousand, five hundred seventy-six".