41008896 has 144 divisors (see below), whose sum is σ = 128772000. Its totient is φ = 12828672.

The previous prime is 41008883. The next prime is 41008901. The reversal of 41008896 is 69880014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×41008896² = 3363459102277632, which contains 22 as substring.

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 41008896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117330 + ... + 117678.

It is an arithmetic number, because the mean of its divisors is an integer number (894250).

Almost surely, 2^41008896 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 41008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64386000).

41008896 is an abundant number, since it is smaller than the sum of its proper divisors (87763104).

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

41008896 is a wasteful number, since it uses less digits than its factorization.

41008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 41008896 is about 6403.8188606487. The cubic root of 41008896 is about 344.8466615360.

It can be divided in two parts, 4100 and 8896, that added together give a square (12996 = 114²).

The spelling of 41008896 in words is "forty-one million, eight thousand, eight hundred ninety-six".