40142126025 has 135 divisors (see below), whose sum is σ = 77999975781. Its totient is φ = 19734166080.

The previous prime is 40142125981. The next prime is 40142126041. The reversal of 40142126025 is 52062124104.

The square root of 40142126025 is 200355.

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

40142126025 is a `hidden beast` number, since 4 + 0 + 1 + 42 + 12 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3810716361 + 36331409664 = 61731^2 + 190608^2 .

It is not a de Polignac number, because 40142126025 - 2²³ = 40133737417 is a prime.

It is a super-2 number, since 2×40142126025² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40142126025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1084922307 + ... + 1084922343.

Almost surely, 2^40142126025 is an apocalyptic number.

40142126025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40142126025 is the 200355-th square number.

40142126025 is the 100178-th centered octagonal number.

It is an amenable number.

40142126025 is a deficient number, since it is larger than the sum of its proper divisors (37857849756).

40142126025 is an frugal number, since it uses more digits than its factorization.

40142126025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 40142126025 in words is "forty billion, one hundred forty-two million, one hundred twenty-six thousand, twenty-five".