40648594140625 has 45 divisors (see below), whose sum is σ = 51318823822405. Its totient is φ = 32196906250000.

The previous prime is 40648594140619. The next prime is 40648594140683. The reversal of 40648594140625 is 52604149584604.

The square root of 40648594140625 is 6375625.

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

40648594140625 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 22 ways, for example, as 13131687270289 + 27516906870336 = 3623767^2 + 5245656^2 .

It is not a de Polignac number, because 40648594140625 - 2²¹ = 40648592043473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40648594140625.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 402461328075 + ... + 402461328175.

Almost surely, 2^{40648594140625} is an apocalyptic number.

40648594140625 is the 6375625-th square number.

40648594140625 is the 3187813-rd centered octagonal number.

It is an amenable number.

40648594140625 is a deficient number, since it is larger than the sum of its proper divisors (10670229681780).

40648594140625 is an frugal number, since it uses more digits than its factorization.

40648594140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 58.

The spelling of 40648594140625 in words is "forty trillion, six hundred forty-eight billion, five hundred ninety-four million, one hundred forty thousand, six hundred twenty-five".