413200040220 has 288 divisors, whose sum is σ = 1429893803520. Its totient is φ = 95604410880.

The previous prime is 413200040191. The next prime is 413200040237. The reversal of 413200040220 is 22040002314.

413200040220 is a `hidden beast` number, since 41 + 3 + 200 + 0 + 402 + 20 = 666.

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 = 413200040193 and 413200040202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21257466 + ... + 21276894.

It is an arithmetic number, because the mean of its divisors is an integer number (4964909040).

Almost surely, 2^413200040220 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 413200040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714946901760).

413200040220 is an abundant number, since it is smaller than the sum of its proper divisors (1016693763300).

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

413200040220 is a wasteful number, since it uses less digits than its factorization.

413200040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19945 (or 19940 counting only the distinct ones).

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

Adding to 413200040220 its reverse (22040002314), we get a palindrome (435240042534).

The spelling of 413200040220 in words is "four hundred thirteen billion, two hundred million, forty thousand, two hundred twenty".