40804435987225 has 81 divisors (see below), whose sum is σ = 54151695462807. Its totient is φ = 30494808852480.

The previous prime is 40804435987129. The next prime is 40804435987253. The reversal of 40804435987225 is 52278953440804.

The square root of 40804435987225 is 6387835.

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

It can be written as a sum of positive squares in 13 ways, for example, as 23887568275081 + 16916867712144 = 4887491^2 + 4113012^2 .

It is not a de Polignac number, because 40804435987225 - 2²³ = 40804427598617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 121081412257 + ... + 121081412593.

Almost surely, 2^{40804435987225} is an apocalyptic number.

40804435987225 is the 6387835-th square number.

40804435987225 is the 3193918-th centered octagonal number.

It is an amenable number.

40804435987225 is a deficient number, since it is larger than the sum of its proper divisors (13347259475582).

40804435987225 is an frugal number, since it uses more digits than its factorization.

40804435987225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 61.

The spelling of 40804435987225 in words is "forty trillion, eight hundred four billion, four hundred thirty-five million, nine hundred eighty-seven thousand, two hundred twenty-five".