41218920 has 96 divisors (see below), whose sum is σ = 136230120. Its totient is φ = 10805760.

The previous prime is 41218909. The next prime is 41218927. The reversal of 41218920 is 2981214.

It can be written as a sum of positive squares in 4 ways, for example, as 24029604 + 17189316 = 4902^2 + 4146^2 .

It is not an unprimeable number, because it can be changed into a prime (41218927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21022 + ... + 22898.

Almost surely, 2^41218920 is an apocalyptic number.

41218920 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 41218920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68115060).

41218920 is an abundant number, since it is smaller than the sum of its proper divisors (95011200).

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

41218920 is a wasteful number, since it uses less digits than its factorization.

41218920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41218920 is about 6420.1962586824. The cubic root of 41218920 is about 345.4343615337.

It can be divided in two parts, 4121 and 8920, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 41218920 in words is "forty-one million, two hundred eighteen thousand, nine hundred twenty".