4460920128 has 448 divisors, whose sum is σ = 15795955200. Its totient is φ = 1222760448.

The previous prime is 4460920069. The next prime is 4460920141. The reversal of 4460920128 is 8210290644.

4460920128 is a `hidden beast` number, since 4 + 4 + 609 + 20 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 4460920092 and 4460920101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28413426 + ... + 28413582.

Almost surely, 2^4460920128 is an apocalyptic number.

4460920128 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 4460920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7897977600).

4460920128 is an abundant number, since it is smaller than the sum of its proper divisors (11335035072).

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

4460920128 is an equidigital number, since it uses as much as digits as its factorization.

4460920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4460920128 is about 66790.1199879144. The cubic root of 4460920128 is about 1646.1705040976.

The spelling of 4460920128 in words is "four billion, four hundred sixty million, nine hundred twenty thousand, one hundred twenty-eight".