41256288 has 72 divisors (see below), whose sum is σ = 121133376. Its totient is φ = 13305600.

The previous prime is 41256287. The next prime is 41256329. The reversal of 41256288 is 88265214.

41256288 is a `hidden beast` number, since 4 + 1 + 25 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41256287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6618 + ... + 11238.

It is an arithmetic number, because the mean of its divisors is an integer number (1682408).

Almost surely, 2^41256288 is an apocalyptic number.

41256288 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 41256288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60566688).

41256288 is an abundant number, since it is smaller than the sum of its proper divisors (79877088).

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

41256288 is a wasteful number, since it uses less digits than its factorization.

41256288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4657 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 41256288 is about 6423.1057908149. The cubic root of 41256288 is about 345.5387172717.

The spelling of 41256288 in words is "forty-one million, two hundred fifty-six thousand, two hundred eighty-eight".