40282814565 has 128 divisors (see below), whose sum is σ = 87779635200. Its totient is φ = 17116220160.

The previous prime is 40282814557. The next prime is 40282814581. The reversal of 40282814565 is 56541828204.

40282814565 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 2 + 81 + 4 + 565 = 666.

It is not a de Polignac number, because 40282814565 - 2³ = 40282814557 is a prime.

It is a super-2 number, since 2×40282814565² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40282814565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 930450 + ... + 972780.

It is an arithmetic number, because the mean of its divisors is an integer number (685778400).

Almost surely, 2^40282814565 is an apocalyptic number.

40282814565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40282814565 is an abundant number, since it is smaller than the sum of its proper divisors (47496820635).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40282814565 is a wasteful number, since it uses less digits than its factorization.

40282814565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42424 (or 42418 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 40282814565 in words is "forty billion, two hundred eighty-two million, eight hundred fourteen thousand, five hundred sixty-five".