4090850082225 has 27 divisors (see below), whose sum is σ = 7327221376683. Its totient is φ = 2181770529840.

The previous prime is 4090850082223. The next prime is 4090850082239. The reversal of 4090850082225 is 5222800580904.

The square root of 4090850082225 is 2022585.

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

4090850082225 is a `hidden beast` number, since 40 + 9 + 0 + 8 + 500 + 82 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1472706029601 + 2618144052624 = 1213551^2 + 1618068^2 .

It is not a de Polignac number, because 4090850082225 - 2¹ = 4090850082223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4090850082223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30271356 + ... + 30406194.

Almost surely, 2^{4090850082225} is an apocalyptic number.

4090850082225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4090850082225 is the 2022585-th square number.

4090850082225 is the 1011293-rd centered octagonal number.

It is an amenable number.

4090850082225 is a deficient number, since it is larger than the sum of its proper divisors (3236371294458).

4090850082225 is an frugal number, since it uses more digits than its factorization.

4090850082225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269694 (or 134847 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 4090850082225 in words is "four trillion, ninety billion, eight hundred fifty million, eighty-two thousand, two hundred twenty-five".