40434401028025 has 27 divisors (see below), whose sum is σ = 50255665557319. Its totient is φ = 32272207136000.

The previous prime is 40434401028019. The next prime is 40434401028029. The reversal of 40434401028025 is 52082010443404.

The square root of 40434401028025 is 6358805.

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

40434401028025 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 13 ways, for example, as 40348882213929 + 85518814096 = 6352077^2 + 292436^2 .

It is not a de Polignac number, because 40434401028025 - 2¹⁹ = 40434400503737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40434401028029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16564685805 + ... + 16564688245.

Almost surely, 2^{40434401028025} is an apocalyptic number.

40434401028025 is the 6358805-th square number.

40434401028025 is the 3179403-rd centered octagonal number.

It is an amenable number.

40434401028025 is a deficient number, since it is larger than the sum of its proper divisors (9821264529294).

40434401028025 is an frugal number, since it uses more digits than its factorization.

40434401028025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 40434401028025 in words is "forty trillion, four hundred thirty-four billion, four hundred one million, twenty-eight thousand, twenty-five".