41416000 has 112 divisors (see below), whose sum is σ = 106509312. Its totient is φ = 15936000.

The previous prime is 41415971. The next prime is 41416003. The reversal of 41416000 is 61414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41416003) 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, 247917 + ... + 248083.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^41416000 is an apocalyptic number.

41416000 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 41416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656).

41416000 is an abundant number, since it is smaller than the sum of its proper divisors (65093312).

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

41416000 is a wasteful number, since it uses less digits than its factorization.

41416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 41416000 is about 6435.5263964962. The cubic root of 41416000 is about 345.9840281310.

Adding to 41416000 its reverse (61414), we get a palindrome (41477414).

The spelling of 41416000 in words is "forty-one million, four hundred sixteen thousand".