413838484020 has 192 divisors, whose sum is σ = 1386906286080. Its totient is φ = 101840716800.

The previous prime is 413838483959. The next prime is 413838484043. The reversal of 413838484020 is 20484838314.

It is a happy number.

413838484020 is a `hidden beast` number, since 4 + 138 + 38 + 484 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42964605 + ... + 42974235.

It is an arithmetic number, because the mean of its divisors is an integer number (7223470240).

Almost surely, 2^413838484020 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 413838484020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693453143040).

413838484020 is an abundant number, since it is smaller than the sum of its proper divisors (973067802060).

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

413838484020 is a wasteful number, since it uses less digits than its factorization.

413838484020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15783 (or 15775 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 413838484020 in words is "four hundred thirteen billion, eight hundred thirty-eight million, four hundred eighty-four thousand, twenty".