41261220 has 288 divisors, whose sum is σ = 168779520. Its totient is φ = 7879680.

The previous prime is 41261219. The next prime is 41261221. The reversal of 41261220 is 2216214.

It is an interprime number because it is at equal distance from previous prime (41261219) and next prime (41261221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41261193 and 41261202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41261221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180066 + ... + 180294.

It is an arithmetic number, because the mean of its divisors is an integer number (586040).

Almost surely, 2^41261220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41261220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84389760).

41261220 is an abundant number, since it is smaller than the sum of its proper divisors (127518300).

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

41261220 is a wasteful number, since it uses less digits than its factorization.

41261220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41261220 is about 6423.4897057596. The cubic root of 41261220 is about 345.5524859126.

Adding to 41261220 its reverse (2216214), we get a palindrome (43477434).

The spelling of 41261220 in words is "forty-one million, two hundred sixty-one thousand, two hundred twenty".