4400195688 has 288 divisors, whose sum is σ = 14590704960. Its totient is φ = 1192181760.

The previous prime is 4400195671. The next prime is 4400195713. The reversal of 4400195688 is 8865910044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17121256 + ... + 17121512.

It is an arithmetic number, because the mean of its divisors is an integer number (50662170).

Almost surely, 2^4400195688 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 4400195688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7295352480).

4400195688 is an abundant number, since it is smaller than the sum of its proper divisors (10190509272).

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

4400195688 is a wasteful number, since it uses less digits than its factorization.

4400195688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4400195688 is about 66333.9708445077. The cubic root of 4400195688 is about 1638.6668334686. Note that the first 3 decimals are identical.

The spelling of 4400195688 in words is "four billion, four hundred million, one hundred ninety-five thousand, six hundred eighty-eight".