4000128 has 64 divisors (see below), whose sum is σ = 11603520. Its totient is φ = 1210880.

The previous prime is 4000093. The next prime is 4000133. The reversal of 4000128 is 8210004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3751 + ... + 4697.

It is an arithmetic number, because the mean of its divisors is an integer number (181305).

Almost surely, 2^4000128 is an apocalyptic number.

4000128 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 4000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801760).

4000128 is an abundant number, since it is smaller than the sum of its proper divisors (7603392).

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

4000128 is a wasteful number, since it uses less digits than its factorization.

4000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4000128 is about 2000.0319997440. The cubic root of 4000128 is about 158.7417984065.

It can be divided in two parts, 4000 and 128, that multiplied together give a cube (512000 = 80³).

The spelling of 4000128 in words is "four million, one hundred twenty-eight", and thus it is an aban number.