4165817040 has 960 divisors, whose sum is σ = 19030781952. Its totient is φ = 827988480.

The previous prime is 4165817039. The next prime is 4165817041. The reversal of 4165817040 is 407185614.

It is a happy number.

4165817040 is a `hidden beast` number, since 4 + 1 + 6 + 581 + 70 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4165817039) and next prime (4165817041).

It is a super-2 number, since 2×4165817040² = 34708063221508723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4165816986 and 4165817004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165817041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181122469 + ... + 181122491.

Almost surely, 2^4165817040 is an apocalyptic number.

4165817040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165817040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515390976).

4165817040 is an abundant number, since it is smaller than the sum of its proper divisors (14864964912).

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

4165817040 is a wasteful number, since it uses less digits than its factorization.

4165817040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4165817040 is about 64543.1409214023. The cubic root of 4165817040 is about 1609.0395928374.

The spelling of 4165817040 in words is "four billion, one hundred sixty-five million, eight hundred seventeen thousand, forty".