4195832144 has 80 divisors (see below), whose sum is σ = 9661572096. Its totient is φ = 1727308800.

The previous prime is 4195832131. The next prime is 4195832161. The reversal of 4195832144 is 4412385914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471254 + ... + 480074.

Almost surely, 2^4195832144 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 4195832144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830786048).

4195832144 is an abundant number, since it is smaller than the sum of its proper divisors (5465739952).

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

4195832144 is a wasteful number, since it uses less digits than its factorization.

4195832144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 8998 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 4195832144 is about 64775.2432955678. The cubic root of 4195832144 is about 1612.8947758779.

The spelling of 4195832144 in words is "four billion, one hundred ninety-five million, eight hundred thirty-two thousand, one hundred forty-four".