41496 has 64 divisors (see below), whose sum is σ = 134400. Its totient is φ = 10368.

The previous prime is 41491. The next prime is 41507. The reversal of 41496 is 69414.

41496 = T₄₃ + T₄₄ + ... + T₆₈.

41496 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (864) is a multiple of the sum of its prime factors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175 + ... + 2193.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2⁴¹⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67200).

41496 is an abundant number, since it is smaller than the sum of its proper divisors (92904).

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

41496 is a wasteful number, since it uses less digits than its factorization.

41496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 44 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 41496 is about 203.7056700242. The cubic root of 41496 is about 34.6206654811.

The spelling of 41496 in words is "forty-one thousand, four hundred ninety-six".