40817276505 has 48 divisors (see below), whose sum is σ = 75684130704. Its totient is φ = 20277411840.

The previous prime is 40817276473. The next prime is 40817276519. The reversal of 40817276505 is 50567271804.

40817276505 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 72 + 76 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2828537856 + 37988738649 = 53184^2 + 194907^2 .

It is not a de Polignac number, because 40817276505 - 2⁵ = 40817276473 is a prime.

It is a super-2 number, since 2×40817276505² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200826 + ... + 349235.

It is an arithmetic number, because the mean of its divisors is an integer number (1576752723).

Almost surely, 2^40817276505 is an apocalyptic number.

40817276505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40817276505 is a deficient number, since it is larger than the sum of its proper divisors (34866854199).

40817276505 is a wasteful number, since it uses less digits than its factorization.

40817276505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550186 (or 550183 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 40817276505 in words is "forty billion, eight hundred seventeen million, two hundred seventy-six thousand, five hundred five".