41408000 has 80 divisors (see below), whose sum is σ = 103413024. Its totient is φ = 16537600.

The previous prime is 41407997. The next prime is 41408041. The reversal of 41408000 is 80414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 41408000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63677 + ... + 64323.

Almost surely, 2^41408000 is an apocalyptic number.

41408000 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 41408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51706512).

41408000 is an abundant number, since it is smaller than the sum of its proper divisors (62005024).

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

41408000 is an frugal number, since it uses more digits than its factorization.

41408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 41408000 is about 6434.9048167009. The cubic root of 41408000 is about 345.9617497003.

Adding to 41408000 its reverse (80414), we get a palindrome (41488414).

The spelling of 41408000 in words is "forty-one million, four hundred eight thousand".