40272416217 has 64 divisors (see below), whose sum is σ = 66949555200. Its totient is φ = 23714933760.

The previous prime is 40272416183. The next prime is 40272416243. The reversal of 40272416217 is 71261427204.

40272416217 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 24 + 1 + 621 + 7 = 666.

It is not a de Polignac number, because 40272416217 - 2¹⁰ = 40272415193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40272416297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2456634 + ... + 2472972.

It is an arithmetic number, because the mean of its divisors is an integer number (1046086800).

Almost surely, 2^40272416217 is an apocalyptic number.

It is an amenable number.

40272416217 is a deficient number, since it is larger than the sum of its proper divisors (26677138983).

40272416217 is a wasteful number, since it uses less digits than its factorization.

40272416217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16595 (or 16589 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 40272416217 in words is "forty billion, two hundred seventy-two million, four hundred sixteen thousand, two hundred seventeen".