41260896 has 72 divisors (see below), whose sum is σ = 122456880. Its totient is φ = 13153536.

The previous prime is 41260867. The next prime is 41260897. The reversal of 41260896 is 69806214.

41260896 is a `hidden beast` number, since 41 + 2 + 608 + 9 + 6 = 666.

41260896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 41260896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41260897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3510 + ... + 9738.

It is an arithmetic number, because the mean of its divisors is an integer number (1700790).

Almost surely, 2^41260896 is an apocalyptic number.

41260896 is a gapful number since it is divisible by the number (46) 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 41260896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61228440).

41260896 is an abundant number, since it is smaller than the sum of its proper divisors (81195984).

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

41260896 is a wasteful number, since it uses less digits than its factorization.

41260896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 41260896 is about 6423.4644857740. The cubic root of 41260896 is about 345.5515814370.

The spelling of 41260896 in words is "forty-one million, two hundred sixty thousand, eight hundred ninety-six".