10041408 has 140 divisors (see below), whose sum is σ = 32270700. Its totient is φ = 3068928.

The previous prime is 10041401. The next prime is 10041413. The reversal of 10041408 is 80414001.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 8714304 = 1152^2 + 2952^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10041401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67318 + ... + 67466.

It is an arithmetic number, because the mean of its divisors is an integer number (230505).

Almost surely, 2^10041408 is an apocalyptic number.

10041408 is a gapful number since it is divisible by the number (18) 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 10041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135350).

10041408 is an abundant number, since it is smaller than the sum of its proper divisors (22229292).

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

10041408 is a wasteful number, since it uses less digits than its factorization.

10041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

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

The square root of 10041408 is about 3168.8180761918. The cubic root of 10041408 is about 215.7404289345.

Adding to 10041408 its reverse (80414001), we get a palindrome (90455409).

The spelling of 10041408 in words is "ten million, forty-one thousand, four hundred eight".