40106070225 has 135 divisors (see below), whose sum is σ = 78817958583. Its totient is φ = 19494596160.

The previous prime is 40106070223. The next prime is 40106070227. The reversal of 40106070225 is 52207060104.

The square root of 40106070225 is 200265.

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

40106070225 is a `hidden beast` number, since 40 + 10 + 607 + 0 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (40106070223) and next prime (40106070227).

It can be written as a sum of positive squares in 7 ways, for example, as 39350260161 + 755810064 = 198369^2 + 27492^2 .

It is not a de Polignac number, because 40106070225 - 2¹ = 40106070223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40106070223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 507671736 + ... + 507671814.

Almost surely, 2^40106070225 is an apocalyptic number.

40106070225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40106070225 is the 200265-th square number.

40106070225 is the 100133-rd centered octagonal number.

It is an amenable number.

40106070225 is a deficient number, since it is larger than the sum of its proper divisors (38711888358).

40106070225 is an frugal number, since it uses more digits than its factorization.

40106070225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 40106070225 in words is "forty billion, one hundred six million, seventy thousand, two hundred twenty-five".