413040003220 has 96 divisors (see below), whose sum is σ = 957615948576. Its totient is φ = 148674355200.

The previous prime is 413040003217. The next prime is 413040003227. The reversal of 413040003220 is 22300040314.

It can be written as a sum of positive squares in 16 ways, for example, as 270870284304 + 142169718916 = 520452^2 + 377054^2 .

It is a super-2 number, since 2×413040003220² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413040003227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14707432 + ... + 14735488.

It is an arithmetic number, because the mean of its divisors is an integer number (9975166131).

Almost surely, 2^413040003220 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 413040003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478807974288).

413040003220 is an abundant number, since it is smaller than the sum of its proper divisors (544575945356).

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

413040003220 is a wasteful number, since it uses less digits than its factorization.

413040003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29501 (or 29499 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 413040003220 its reverse (22300040314), we get a palindrome (435340043534).

The spelling of 413040003220 in words is "four hundred thirteen billion, forty million, three thousand, two hundred twenty".