4163009136 has 320 divisors, whose sum is σ = 13454138880. Its totient is φ = 1090437120.

The previous prime is 4163009063. The next prime is 4163009141. The reversal of 4163009136 is 6319003614.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4163009097 and 4163009106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17866876 + ... + 17867108.

It is an arithmetic number, because the mean of its divisors is an integer number (42044184).

Almost surely, 2^4163009136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4163009136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727069440).

4163009136 is an abundant number, since it is smaller than the sum of its proper divisors (9291129744).

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

4163009136 is a wasteful number, since it uses less digits than its factorization.

4163009136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 4163009136 is about 64521.3851060251. The cubic root of 4163009136 is about 1608.6779955686.

The spelling of 4163009136 in words is "four billion, one hundred sixty-three million, nine thousand, one hundred thirty-six".