4163435440 has 80 divisors (see below), whose sum is σ = 10067989536. Its totient is φ = 1599897600.

The previous prime is 4163435387. The next prime is 4163435461. The reversal of 4163435440 is 445343614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4163435396 and 4163435405.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 199920 + ... + 219760.

Almost surely, 2^4163435440 is an apocalyptic number.

4163435440 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 4163435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033994768).

4163435440 is an abundant number, since it is smaller than the sum of its proper divisors (5904554096).

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

4163435440 is a wasteful number, since it uses less digits than its factorization.

4163435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958 (or 19952 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 4163435440 is about 64524.6886083149. The cubic root of 4163435440 is about 1608.7329047648.

The spelling of 4163435440 in words is "four billion, one hundred sixty-three million, four hundred thirty-five thousand, four hundred forty".