4128433920 has 432 divisors, whose sum is σ = 15968071392. Its totient is φ = 1015234560.

The previous prime is 4128433919. The next prime is 4128433931. The reversal of 4128433920 is 293348214.

4128433920 is a `hidden beast` number, since 41 + 284 + 339 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043010 + ... + 4044030.

Almost surely, 2^4128433920 is an apocalyptic number.

4128433920 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 4128433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984035696).

4128433920 is an abundant number, since it is smaller than the sum of its proper divisors (11839637472).

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

4128433920 is a wasteful number, since it uses less digits than its factorization.

4128433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4128433920 is about 64252.8903630023. The cubic root of 4128433920 is about 1604.2120684858.

The spelling of 4128433920 in words is "four billion, one hundred twenty-eight million, four hundred thirty-three thousand, nine hundred twenty".