41689440 has 288 divisors, whose sum is σ = 163459296. Its totient is φ = 9584640.

The previous prime is 41689433. The next prime is 41689481. The reversal of 41689440 is 4498614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41689395 and 41689404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318175 + ... + 318305.

It is an arithmetic number, because the mean of its divisors is an integer number (567567).

Almost surely, 2^41689440 is an apocalyptic number.

41689440 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 41689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81729648).

41689440 is an abundant number, since it is smaller than the sum of its proper divisors (121769856).

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

41689440 is a wasteful number, since it uses less digits than its factorization.

41689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41689440 is about 6456.7360175246. The cubic root of 41689440 is about 346.7437862615.

The spelling of 41689440 in words is "forty-one million, six hundred eighty-nine thousand, four hundred forty".