413076009420 has 240 divisors, whose sum is σ = 1334431397376. Its totient is φ = 106900992000.

The previous prime is 413076009407. The next prime is 413076009433. The reversal of 413076009420 is 24900670314.

413076009420 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 7 + 600 + 9 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (413076009407) and next prime (413076009433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12669940 + ... + 12702500.

Almost surely, 2^413076009420 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 413076009420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667215698688).

413076009420 is an abundant number, since it is smaller than the sum of its proper divisors (921355387956).

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

413076009420 is a wasteful number, since it uses less digits than its factorization.

413076009420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32814 (or 32803 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 413076009420 its reverse (24900670314), we get a palindrome (437976679734).

The spelling of 413076009420 in words is "four hundred thirteen billion, seventy-six million, nine thousand, four hundred twenty".