4409624025 has 81 divisors (see below), whose sum is σ = 8371624989. Its totient is φ = 2218458240.

The previous prime is 4409624003. The next prime is 4409624039. The reversal of 4409624025 is 5204269044.

The square root of 4409624025 is 66405.

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

4409624025 is a `hidden beast` number, since 4 + 4 + 0 + 9 + 624 + 0 + 25 = 666.

4409624025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 868421961 + 3541202064 = 29469^2 + 59508^2 .

It is not a de Polignac number, because 4409624025 - 2¹¹ = 4409621977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18925309 + ... + 18925541.

Almost surely, 2^4409624025 is an apocalyptic number.

4409624025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4409624025 is the 66405-th square number.

4409624025 is the 33203-rd centered octagonal number.

It is an amenable number.

4409624025 is a deficient number, since it is larger than the sum of its proper divisors (3962000964).

4409624025 is a wasteful number, since it uses less digits than its factorization.

4409624025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 4409624025 is about 1639.8363936782.

Multiplying 4409624025 by its sum of digits (36), we get a square (158746464900 = 398430²).

It can be divided in two parts, 44096 and 24025, that added together give a square (68121 = 261²).

The spelling of 4409624025 in words is "four billion, four hundred nine million, six hundred twenty-four thousand, twenty-five".