4099072576 has 63 divisors (see below), whose sum is σ = 8345733753. Its totient is φ = 1997548800.

The previous prime is 4099072573. The next prime is 4099072603. The reversal of 4099072576 is 6752709904.

The square root of 4099072576 is 64024.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2955009600 + 1144062976 = 54360^2 + 33824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4099072573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27146101 + ... + 27146251.

Almost surely, 2^4099072576 is an apocalyptic number.

4099072576 is the 64024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4099072576

4099072576 is an abundant number, since it is smaller than the sum of its proper divisors (4246661177).

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

4099072576 is an frugal number, since it uses more digits than its factorization.

4099072576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The cubic root of 4099072576 is about 1600.3999750042.

Multiplying 4099072576 by its sum of digits (49), we get a square (200854556224 = 448168²).

The spelling of 4099072576 in words is "four billion, ninety-nine million, seventy-two thousand, five hundred seventy-six".