42128000 has 64 divisors (see below), whose sum is σ = 104780520. Its totient is φ = 16844800.

The previous prime is 42127991. The next prime is 42128029. The reversal of 42128000 is 82124.

It can be written as a sum of positive squares in 4 ways, for example, as 6031936 + 36096064 = 2456^2 + 6008^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 42128000.

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, 14684 + ... + 17316.

Almost surely, 2^42128000 is an apocalyptic number.

42128000 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 42128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52390260).

42128000 is an abundant number, since it is smaller than the sum of its proper divisors (62652520).

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

42128000 is an equidigital number, since it uses as much as digits as its factorization.

42128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 42128000 is about 6490.6086001237. The cubic root of 42128000 is about 347.9554265366.

The spelling of 42128000 in words is "forty-two million, one hundred twenty-eight thousand".