413833448322 has 54 divisors (see below), whose sum is σ = 1043077356009. Its totient is φ = 118232669520.

The previous prime is 413833448279. The next prime is 413833448359. The reversal of 413833448322 is 223844338314.

413833448322 is a `hidden beast` number, since 4 + 138 + 3 + 34 + 483 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 398993092281 + 14840356041 = 631659^2 + 121821^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=454881.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19094172 + ... + 19115832.

Almost surely, 2^413833448322 is an apocalyptic number.

413833448322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

413833448322 is an abundant number, since it is smaller than the sum of its proper divisors (629243907687).

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

413833448322 is an frugal number, since it uses more digits than its factorization.

413833448322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43344 (or 21673 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 413833448322 in words is "four hundred thirteen billion, eight hundred thirty-three million, four hundred forty-eight thousand, three hundred twenty-two".