41431680 has 96 divisors (see below), whose sum is σ = 143088660. Its totient is φ = 11046912.

The previous prime is 41431679. The next prime is 41431681. The reversal of 41431680 is 8613414.

It is an interprime number because it is at equal distance from previous prime (41431679) and next prime (41431681).

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 4562496 = 6072^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (41431681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2164 + ... + 9356.

Almost surely, 2^41431680 is an apocalyptic number.

41431680 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 41431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71544330).

41431680 is an abundant number, since it is smaller than the sum of its proper divisors (101656980).

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

41431680 is a wasteful number, since it uses less digits than its factorization.

41431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41431680 is about 6436.7445187766. The cubic root of 41431680 is about 346.0276855346.

The spelling of 41431680 in words is "forty-one million, four hundred thirty-one thousand, six hundred eighty".