41413840 has 40 divisors (see below), whose sum is σ = 103696488. Its totient is φ = 15290880.

The previous prime is 41413837. The next prime is 41413843. The reversal of 41413840 is 4831414.

It is an interprime number because it is at equal distance from previous prime (41413837) and next prime (41413843).

It can be written as a sum of positive squares in 4 ways, for example, as 1774224 + 39639616 = 1332^2 + 6296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×41413840³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41413843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18871 + ... + 20950.

Almost surely, 2^41413840 is an apocalyptic number.

41413840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41413840 is an abundant number, since it is smaller than the sum of its proper divisors (62282648).

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

41413840 is a wasteful number, since it uses less digits than its factorization.

41413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39847 (or 39841 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 41413840 is about 6435.3585758682. The cubic root of 41413840 is about 345.9780132375.

The spelling of 41413840 in words is "forty-one million, four hundred thirteen thousand, eight hundred forty".