41289696 has 96 divisors (see below), whose sum is σ = 137652480. Its totient is φ = 11795328.

The previous prime is 41289691. The next prime is 41289701. The reversal of 41289696 is 69698214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41289691) and next prime (41289701).

It is a tau number, because it is divible by the number of its divisors (96).

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

41289696 is a modest number, since divided by 9696 gives 4128 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41289691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2635 + ... + 9461.

It is an arithmetic number, because the mean of its divisors is an integer number (1433880).

Almost surely, 2^41289696 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 41289696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68826240).

41289696 is an abundant number, since it is smaller than the sum of its proper divisors (96362784).

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

41289696 is a wasteful number, since it uses less digits than its factorization.

41289696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6839 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 41289696 is about 6425.7058756218. The cubic root of 41289696 is about 345.6319607788.

It can be divided in two parts, 4128 and 9696, that added together give a cube (13824 = 24³).

The spelling of 41289696 in words is "forty-one million, two hundred eighty-nine thousand, six hundred ninety-six".