4395904128 has 256 divisors, whose sum is σ = 16176384000. Its totient is φ = 1141724160.

The previous prime is 4395904069. The next prime is 4395904133. The reversal of 4395904128 is 8214095934.

4395904128 is a `hidden beast` number, since 4 + 39 + 590 + 4 + 1 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257853 + ... + 274371.

It is an arithmetic number, because the mean of its divisors is an integer number (63189000).

Almost surely, 2^4395904128 is an apocalyptic number.

4395904128 is a gapful number since it is divisible by the number (48) 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 4395904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8088192000).

4395904128 is an abundant number, since it is smaller than the sum of its proper divisors (11780479872).

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

4395904128 is a wasteful number, since it uses less digits than its factorization.

4395904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16560 (or 16542 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4395904128 is about 66301.6148219634. The cubic root of 4395904128 is about 1638.1339234917.

The spelling of 4395904128 in words is "four billion, three hundred ninety-five million, nine hundred four thousand, one hundred twenty-eight".