41410080 has 144 divisors (see below), whose sum is σ = 142997400. Its totient is φ = 10911744.

The previous prime is 41410069. The next prime is 41410091. The reversal of 41410080 is 8001414.

It is an interprime number because it is at equal distance from previous prime (41410069) and next prime (41410091).

It can be written as a sum of positive squares in 4 ways, for example, as 19395216 + 22014864 = 4404^2 + 4692^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214464 + ... + 214656.

Almost surely, 2^41410080 is an apocalyptic number.

41410080 is a gapful number since it is divisible by the number (40) 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 41410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71498700).

41410080 is an abundant number, since it is smaller than the sum of its proper divisors (101587320).

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

41410080 is a wasteful number, since it uses less digits than its factorization.

41410080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 41410080 is about 6435.0664332235. The cubic root of 41410080 is about 345.9675423683.

Adding to 41410080 its reverse (8001414), we get a palindrome (49411494).

The spelling of 41410080 in words is "forty-one million, four hundred ten thousand, eighty".