41296128 has 72 divisors (see below), whose sum is σ = 116409888. Its totient is φ = 12951552.

The previous prime is 41296121. The next prime is 41296133. The reversal of 41296128 is 82169214.

It is not an unprimeable number, because it can be changed into a prime (41296121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11475 + ... + 14637.

It is an arithmetic number, because the mean of its divisors is an integer number (1616804).

Almost surely, 2^41296128 is an apocalyptic number.

41296128 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 41296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58204944).

41296128 is an abundant number, since it is smaller than the sum of its proper divisors (75113760).

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

41296128 is a wasteful number, since it uses less digits than its factorization.

41296128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3185 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 41296128 is about 6426.2063458934. The cubic root of 41296128 is about 345.6499070588.

The spelling of 41296128 in words is "forty-one million, two hundred ninety-six thousand, one hundred twenty-eight".