40405104133225 has 48 divisors (see below), whose sum is σ = 54514591311600. Its totient is φ = 29530359014400.

The previous prime is 40405104133189. The next prime is 40405104133253. The reversal of 40405104133225 is 52233140150404.

It can be written as a sum of positive squares in 24 ways, for example, as 35282364490816 + 5122739642409 = 5939896^2 + 2263347^2 .

It is not a de Polignac number, because 40405104133225 - 2³¹ = 40402956649577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11907615 + ... + 14919835.

It is an arithmetic number, because the mean of its divisors is an integer number (1135720652325).

Almost surely, 2^{40405104133225} is an apocalyptic number.

It is an amenable number.

40405104133225 is a deficient number, since it is larger than the sum of its proper divisors (14109487178375).

40405104133225 is a wasteful number, since it uses less digits than its factorization.

40405104133225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012670 (or 3012665 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 40405104133225 its reverse (52233140150404), we get a palindrome (92638244283629).

The spelling of 40405104133225 in words is "forty trillion, four hundred five billion, one hundred four million, one hundred thirty-three thousand, two hundred twenty-five".