4161569952 has 192 divisors, whose sum is σ = 11870724096. Its totient is φ = 1272775680.

The previous prime is 4161569947. The next prime is 4161570001. The reversal of 4161569952 is 2599651614.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11156838 + ... + 11157210.

It is an arithmetic number, because the mean of its divisors is an integer number (61826688).

Almost surely, 2^4161569952 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 4161569952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935362048).

4161569952 is an abundant number, since it is smaller than the sum of its proper divisors (7709154144).

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

4161569952 is a wasteful number, since it uses less digits than its factorization.

4161569952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 4161569952 is about 64510.2313745657. The cubic root of 4161569952 is about 1608.4925967861.

The spelling of 4161569952 in words is "four billion, one hundred sixty-one million, five hundred sixty-nine thousand, nine hundred fifty-two".