4128985920 has 112 divisors (see below), whose sum is σ = 13131881280. Its totient is φ = 1099186176.

The previous prime is 4128985919. The next prime is 4128985933. The reversal of 4128985920 is 295898214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4128985920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613936 + ... + 620624.

It is an arithmetic number, because the mean of its divisors is an integer number (117248940).

Almost surely, 2^4128985920 is an apocalyptic number.

4128985920 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 4128985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565940640).

4128985920 is an abundant number, since it is smaller than the sum of its proper divisors (9002895360).

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

4128985920 is a wasteful number, since it uses less digits than its factorization.

4128985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 4128985920 is about 64257.1857460315. The cubic root of 4128985920 is about 1604.2835633605.

The spelling of 4128985920 in words is "four billion, one hundred twenty-eight million, nine hundred eighty-five thousand, nine hundred twenty".