4140256617 has 48 divisors (see below), whose sum is σ = 7341360000. Its totient is φ = 2241310176.

The previous prime is 4140256531. The next prime is 4140256621. The reversal of 4140256617 is 7166520414.

4140256617 is a `hidden beast` number, since 4 + 14 + 0 + 25 + 6 + 617 = 666.

It is not a de Polignac number, because 4140256617 - 2⁷ = 4140256489 is a prime.

It is a super-2 number, since 2×4140256617² = 34283449709224569378, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4140256667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23359 + ... + 93947.

It is an arithmetic number, because the mean of its divisors is an integer number (152945000).

Almost surely, 2^4140256617 is an apocalyptic number.

It is an amenable number.

4140256617 is a deficient number, since it is larger than the sum of its proper divisors (3201103383).

4140256617 is a wasteful number, since it uses less digits than its factorization.

4140256617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70635 (or 70618 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4140256617 is about 64344.8258759009. The cubic root of 4140256617 is about 1605.7419494489.

The spelling of 4140256617 in words is "four billion, one hundred forty million, two hundred fifty-six thousand, six hundred seventeen".