4135171040 has 192 divisors, whose sum is σ = 13117386240. Its totient is φ = 1189693440.

The previous prime is 4135171031. The next prime is 4135171049. The reversal of 4135171040 is 401715314.

It is an interprime number because it is at equal distance from previous prime (4135171031) and next prime (4135171049).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135171049) 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 31 ways as a sum of consecutive naturals, for example, 147251 + ... + 173069.

It is an arithmetic number, because the mean of its divisors is an integer number (68319720).

Almost surely, 2^4135171040 is an apocalyptic number.

4135171040 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 4135171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558693120).

4135171040 is an abundant number, since it is smaller than the sum of its proper divisors (8982215200).

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

4135171040 is a wasteful number, since it uses less digits than its factorization.

4135171040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25865 (or 25857 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 4135171040 is about 64305.2955828678. The cubic root of 4135171040 is about 1605.0842228943.

Adding to 4135171040 its reverse (401715314), we get a palindrome (4536886354).

The spelling of 4135171040 in words is "four billion, one hundred thirty-five million, one hundred seventy-one thousand, forty".