4095668880 has 320 divisors, whose sum is σ = 15499008000. Its totient is φ = 989480448.

The previous prime is 4095668879. The next prime is 4095668897. The reversal of 4095668880 is 888665904.

It is a happy number.

4095668880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 941751 + ... + 946089.

It is an arithmetic number, because the mean of its divisors is an integer number (48434400).

Almost surely, 2^4095668880 is an apocalyptic number.

4095668880 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 4095668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749504000).

4095668880 is an abundant number, since it is smaller than the sum of its proper divisors (11403339120).

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

4095668880 is a wasteful number, since it uses less digits than its factorization.

4095668880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 4095668880 is about 63997.4130727172. The cubic root of 4095668880 is about 1599.9568842548.

The spelling of 4095668880 in words is "four billion, ninety-five million, six hundred sixty-eight thousand, eight hundred eighty".