41128000 has 112 divisors (see below), whose sum is σ = 104845104. Its totient is φ = 15974400.

The previous prime is 41127973. The next prime is 41128001. The reversal of 41128000 is 82114.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10036224 + 31091776 = 3168^2 + 5576^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41128001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423952 + ... + 424048.

It is an arithmetic number, because the mean of its divisors is an integer number (936117).

Almost surely, 2^41128000 is an apocalyptic number.

41128000 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 41128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422552).

41128000 is an abundant number, since it is smaller than the sum of its proper divisors (63717104).

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

41128000 is an equidigital number, since it uses as much as digits as its factorization.

41128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 41128000 is about 6413.1115692774. Note that the first 3 decimals coincide. The cubic root of 41128000 is about 345.1801901261.

The spelling of 41128000 in words is "forty-one million, one hundred twenty-eight thousand".