40535782225 has 27 divisors (see below), whose sum is σ = 51110824401. Its totient is φ = 31891464000.

The previous prime is 40535782223. The next prime is 40535782247. The reversal of 40535782225 is 52228753504.

The square root of 40535782225 is 201335.

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

40535782225 is digitally balanced in base 2, 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 2155837761 + 38379944464 = 46431^2 + 195908^2 .

It is not a de Polignac number, because 40535782225 - 2¹ = 40535782223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40535782223) 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, 67446925 + ... + 67447525.

Almost surely, 2^40535782225 is an apocalyptic number.

40535782225 is the 201335-th square number.

40535782225 is the 100668-th centered octagonal number.

It is an amenable number.

40535782225 is a deficient number, since it is larger than the sum of its proper divisors (10575042176).

40535782225 is an frugal number, since it uses more digits than its factorization.

40535782225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 43.

The spelling of 40535782225 in words is "forty billion, five hundred thirty-five million, seven hundred eighty-two thousand, two hundred twenty-five".