41553220 has 48 divisors (see below), whose sum is σ = 90378288. Its totient is φ = 16035840.

The previous prime is 41553191. The next prime is 41553221. The reversal of 41553220 is 2235514.

It can be written as a sum of positive squares in 8 ways, for example, as 695556 + 40857664 = 834^2 + 6392^2 .

It is a super-3 number, since 3×41553220³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41553191 and 41553200.

It is not an unprimeable number, because it can be changed into a prime (41553221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 172300 + ... + 172540.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 2^41553220 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 41553220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45189144).

41553220 is an abundant number, since it is smaller than the sum of its proper divisors (48825068).

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

41553220 is a wasteful number, since it uses less digits than its factorization.

41553220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 41553220 is about 6446.1787130051. The cubic root of 41553220 is about 346.3657130840.

Adding to 41553220 its reverse (2235514), we get a palindrome (43788734).

It can be divided in two parts, 415 and 53220, that added together give a palindrome (53635).

The spelling of 41553220 in words is "forty-one million, five hundred fifty-three thousand, two hundred twenty".