40468564225 has 24 divisors (see below), whose sum is σ = 50541722712. Its totient is φ = 32142950400.

The previous prime is 40468564183. The next prime is 40468564237. The reversal of 40468564225 is 52246586404.

It is a Cunningham number, because it is equal to 201168²+1.

It can be written as a sum of positive squares in 12 ways, for example, as 6495070464 + 33973493761 = 80592^2 + 184319^2 .

It is not a de Polignac number, because 40468564225 - 2¹⁵ = 40468531457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046385 + ... + 2066065.

It is an arithmetic number, because the mean of its divisors is an integer number (2105905113).

Almost surely, 2^40468564225 is an apocalyptic number.

It is an amenable number.

40468564225 is a deficient number, since it is larger than the sum of its proper divisors (10073158487).

40468564225 is a wasteful number, since it uses less digits than its factorization.

40468564225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20277 (or 20272 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 40468564225 in words is "forty billion, four hundred sixty-eight million, five hundred sixty-four thousand, two hundred twenty-five".