4095669120 has 128 divisors (see below), whose sum is σ = 13408014240. Its totient is φ = 1062641664.

The previous prime is 4095669119. The next prime is 4095669199. The reversal of 4095669120 is 219665904.

It is a happy number.

4095669120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 42214 + ... + 99866.

Almost surely, 2^4095669120 is an apocalyptic number.

4095669120 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 4095669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704007120).

4095669120 is an abundant number, since it is smaller than the sum of its proper divisors (9312345120).

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

4095669120 is a wasteful number, since it uses less digits than its factorization.

4095669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57712 (or 57700 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 4095669120 is about 63997.4149477930. The cubic root of 4095669120 is about 1599.9569155065.

The spelling of 4095669120 in words is "four billion, ninety-five million, six hundred sixty-nine thousand, one hundred twenty".