40830264225 has 81 divisors (see below), whose sum is σ = 77292164313. Its totient is φ = 20600930880.

The previous prime is 40830264197. The next prime is 40830264227. The reversal of 40830264225 is 52246203804.

The square root of 40830264225 is 202065.

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

40830264225 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 0 + 2 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11276528481 + 29553735744 = 106191^2 + 171912^2 .

It is not a de Polignac number, because 40830264225 - 2¹¹ = 40830262177 is a prime.

It is a super-2 number, since 2×40830264225² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40830264225.

It is not an unprimeable number, because it can be changed into a prime (40830264227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 57588171 + ... + 57588879.

Almost surely, 2^40830264225 is an apocalyptic number.

40830264225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40830264225 is the 202065-th square number.

40830264225 is the 101033-rd centered octagonal number.

It is an amenable number.

40830264225 is a deficient number, since it is larger than the sum of its proper divisors (36461900088).

40830264225 is an equidigital number, since it uses as much as digits as its factorization.

40830264225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 40830264225 by its sum of digits (36), we get a square (1469889512100 = 1212390²).

The spelling of 40830264225 in words is "forty billion, eight hundred thirty million, two hundred sixty-four thousand, two hundred twenty-five".