41209920 has 168 divisors, whose sum is σ = 145618200. Its totient is φ = 10690560.

The previous prime is 41209901. The next prime is 41209963. The reversal of 41209920 is 2990214.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 40144896 = 1032^2 + 6336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117906 + ... + 118254.

It is an arithmetic number, because the mean of its divisors is an integer number (866775).

Almost surely, 2^41209920 is an apocalyptic number.

41209920 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 41209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72809100).

41209920 is an abundant number, since it is smaller than the sum of its proper divisors (104408280).

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

41209920 is a wasteful number, since it uses less digits than its factorization.

41209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 41209920 is about 6419.4953072652. The cubic root of 41209920 is about 345.4092182617.

The spelling of 41209920 in words is "forty-one million, two hundred nine thousand, nine hundred twenty".