41185440 has 144 divisors (see below), whose sum is σ = 144530568. Its totient is φ = 10672128.

The previous prime is 41185429. The next prime is 41185447. The reversal of 41185440 is 4458114.

It is a happy number.

41185440 is a `hidden beast` number, since 4 + 118 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31674384 + 9511056 = 5628^2 + 3084^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41185447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52894 + ... + 53666.

Almost surely, 2^41185440 is an apocalyptic number.

41185440 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 41185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72265284).

41185440 is an abundant number, since it is smaller than the sum of its proper divisors (103345128).

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

41185440 is a wasteful number, since it uses less digits than its factorization.

41185440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 41185440 is about 6417.5883320762. The cubic root of 41185440 is about 345.3408100361.

The spelling of 41185440 in words is "forty-one million, one hundred eighty-five thousand, four hundred forty".