4079721308224 has 63 divisors (see below), whose sum is σ = 8232578018301. Its totient is φ = 2005935555840.

The previous prime is 4079721308209. The next prime is 4079721308227. The reversal of 4079721308224 is 4228031279704.

The square root of 4079721308224 is 2019832.

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., 132664949824 + 3947056358400 = 364232^2 + 1986720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4079721308227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 985675947 + ... + 985680085.

Almost surely, 2^{4079721308224} is an apocalyptic number.

4079721308224 is the 2019832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4079721308224

4079721308224 is an abundant number, since it is smaller than the sum of its proper divisors (4152856710077).

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

4079721308224 is an frugal number, since it uses more digits than its factorization.

4079721308224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

Multiplying 4079721308224 by its sum of digits (49), we get a square (199906344102976 = 14138824²).

The spelling of 4079721308224 in words is "four trillion, seventy-nine billion, seven hundred twenty-one million, three hundred eight thousand, two hundred twenty-four".