41248128 has 64 divisors (see below), whose sum is σ = 110404800. Its totient is φ = 13644288.

The previous prime is 41248049. The next prime is 41248147. The reversal of 41248128 is 82184214.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41248095 and 41248104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62263 + ... + 62921.

It is an arithmetic number, because the mean of its divisors is an integer number (1725075).

Almost surely, 2^41248128 is an apocalyptic number.

41248128 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 41248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55202400).

41248128 is an abundant number, since it is smaller than the sum of its proper divisors (69156672).

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

41248128 is a wasteful number, since it uses less digits than its factorization.

41248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 41248128 is about 6422.4705526768. The cubic root of 41248128 is about 345.5159346286.

The spelling of 41248128 in words is "forty-one million, two hundred forty-eight thousand, one hundred twenty-eight".