41199840 has 360 divisors, whose sum is σ = 168498792. Its totient is φ = 9400320.

The previous prime is 41199773. The next prime is 41199853. The reversal of 41199840 is 4899114.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 41199795 and 41199804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2423512 + ... + 2423528.

Almost surely, 2^41199840 is an apocalyptic number.

41199840 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 41199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84249396).

41199840 is an abundant number, since it is smaller than the sum of its proper divisors (127298952).

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

41199840 is a wasteful number, since it uses less digits than its factorization.

41199840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 41199840 is about 6418.7101508013. The cubic root of 41199840 is about 345.3810534506.

The spelling of 41199840 in words is "forty-one million, one hundred ninety-nine thousand, eight hundred forty".