41414760 has 128 divisors (see below), whose sum is σ = 142617600. Its totient is φ = 10679040.

The previous prime is 41414717. The next prime is 41414761. The reversal of 41414760 is 6741414.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41414761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32862 + ... + 34098.

It is an arithmetic number, because the mean of its divisors is an integer number (1114200).

Almost surely, 2^41414760 is an apocalyptic number.

41414760 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 41414760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71308800).

41414760 is an abundant number, since it is smaller than the sum of its proper divisors (101202840).

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

41414760 is a wasteful number, since it uses less digits than its factorization.

41414760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 41414760 is about 6435.4300555596. The cubic root of 41414760 is about 345.9805751622.

The spelling of 41414760 in words is "forty-one million, four hundred fourteen thousand, seven hundred sixty".