4470128640 has 480 divisors, whose sum is σ = 16608936960. Its totient is φ = 1139539968.

The previous prime is 4470128633. The next prime is 4470128711. The reversal of 4470128640 is 468210744.

4470128640 is a `hidden beast` number, since 4 + 4 + 7 + 0 + 1 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4470128595 and 4470128604.

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, 95109097 + ... + 95109143.

It is an arithmetic number, because the mean of its divisors is an integer number (34601952).

Almost surely, 2^4470128640 is an apocalyptic number.

4470128640 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 4470128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304468480).

4470128640 is an abundant number, since it is smaller than the sum of its proper divisors (12138808320).

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

4470128640 is an equidigital number, since it uses as much as digits as its factorization.

4470128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4470128640 is about 66859.0206329707. The cubic root of 4470128640 is about 1647.3024351628.

The spelling of 4470128640 in words is "four billion, four hundred seventy million, one hundred twenty-eight thousand, six hundred forty".