4165404040 has 64 divisors (see below), whose sum is σ = 10773077760. Its totient is φ = 1419866880.

The previous prime is 4165404011. The next prime is 4165404041. The reversal of 4165404040 is 404045614.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4165404041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5445 + ... + 91435.

It is an arithmetic number, because the mean of its divisors is an integer number (168329340).

Almost surely, 2^4165404040 is an apocalyptic number.

4165404040 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 4165404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386538880).

4165404040 is an abundant number, since it is smaller than the sum of its proper divisors (6607673720).

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

4165404040 is a wasteful number, since it uses less digits than its factorization.

4165404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86182 (or 86178 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 4165404040 is about 64539.9414316437. The cubic root of 4165404040 is about 1608.9864175693.

Adding to 4165404040 its reverse (404045614), we get a palindrome (4569449654).

The spelling of 4165404040 in words is "four billion, one hundred sixty-five million, four hundred four thousand, forty".