41234000220 has 144 divisors (see below), whose sum is σ = 144256432320. Its totient is φ = 9338416128.

The previous prime is 41234000219. The next prime is 41234000221. The reversal of 41234000220 is 2200043214.

41234000220 is a `hidden beast` number, since 41 + 2 + 3 + 400 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (41234000219) and next prime (41234000221).

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 = 41234000193 and 41234000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41234000221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12777 + ... + 287456.

It is an arithmetic number, because the mean of its divisors is an integer number (1001780780).

Almost surely, 2^41234000220 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 41234000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72128216160).

41234000220 is an abundant number, since it is smaller than the sum of its proper divisors (103022432100).

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

41234000220 is a wasteful number, since it uses less digits than its factorization.

41234000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300364 (or 300359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 41234000220 its reverse (2200043214), we get a palindrome (43434043434).

The spelling of 41234000220 in words is "forty-one billion, two hundred thirty-four million, two hundred twenty", and thus it is an aban number.