4191861504 has 144 divisors (see below), whose sum is σ = 11694557952. Its totient is φ = 1330458624.

The previous prime is 4191861439. The next prime is 4191861517. The reversal of 4191861504 is 4051681914.

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, 5422462 + ... + 5423234.

It is an arithmetic number, because the mean of its divisors is an integer number (81212208).

Almost surely, 2^4191861504 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 4191861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847278976).

4191861504 is an abundant number, since it is smaller than the sum of its proper divisors (7502696448).

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

4191861504 is a wasteful number, since it uses less digits than its factorization.

4191861504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 4191861504 is about 64744.5866771887. The cubic root of 4191861504 is about 1612.3858386338.

The spelling of 4191861504 in words is "four billion, one hundred ninety-one million, eight hundred sixty-one thousand, five hundred four".